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GCF of 89 and 144

What is the GCF of 89 and 144? - The GCF of 89 and 144 is 1. Follow the step by step instructions on how to find the great common factor of 89 and 144.

Greatest Common Factor of 89 and 144

Number 1:
Number 2:

What is the greatest common factor of 89 and 144?

Answer: 1

How to find the gcf of 89 and 144?

Method 1 - Listing Factors

To find the gcf of 89 and 144, we first need to find the factors of 89 and 144 and then choose the greatest common factor that are dividable by both 89 and 144.

Factors of 89 = 1, 89
Factors of 144 = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The greatest common factor of 89 and 144 is 1, because 1 is the largest number that is divisible by both numbers.





Method 2 - Prime Factorization

Another method to find the greatest common factor of 89 and 144 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 89 and 144, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 89 = 89
Prime factorization of 144 = 2 x 2 x 2 x 2 x 3 x 3
Common prime factors = = 1

GCF of 88 and 144
GCF of 90 and 144
GCF of 89 and 145
GCF of 89 and 143

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