What is the Greatest Common Factor of 89952 and 89957?

Greatest common factor (GCF) of 89952 and 89957 is 1.

GCF(89952,89957) = 1

We will now calculate the prime factors of 89952 and 89957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89952 and 89957.

How to find the GCF of 89952 and 89957?

We will first find the prime factorization of 89952 and 89957. After we will calculate the factors of 89952 and 89957 and find the biggest common factor number .

Step-1: Prime Factorization of 89952

Prime factors of 89952 are 2, 3, 937. Prime factorization of 89952 in exponential form is:

89952 = 2⁵ × 3¹ × 937¹

Step-2: Prime Factorization of 89957

Prime factors of 89957 are 7, 71, 181. Prime factorization of 89957 in exponential form is:

89957 = 7¹ × 71¹ × 181¹

Step-3: Factors of 89952

List of positive integer factors of 89952 that divides 89952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 937, 1874, 2811, 3748, 5622, 7496, 11244, 14992, 22488, 29984, 44976

Step-4: Factors of 89957

List of positive integer factors of 89957 that divides 89952 without a remainder.

1, 7, 71, 181, 497, 1267, 12851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89952 and 89957. The biggest common factor number is the GCF number.
So the greatest common factor 89952 and 89957 is 1.

Also check out the Least Common Multiple of 89952 and 89957