What is the Greatest Common Factor of 88946 and 88957?

Greatest common factor (GCF) of 88946 and 88957 is 11.

GCF(88946,88957) = 11

We will now calculate the prime factors of 88946 and 88957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88946 and 88957.

How to find the GCF of 88946 and 88957?

We will first find the prime factorization of 88946 and 88957. After we will calculate the factors of 88946 and 88957 and find the biggest common factor number .

Step-1: Prime Factorization of 88946

Prime factors of 88946 are 2, 11, 13, 311. Prime factorization of 88946 in exponential form is:

88946 = 2¹ × 11¹ × 13¹ × 311¹

Step-2: Prime Factorization of 88957

Prime factors of 88957 are 11, 8087. Prime factorization of 88957 in exponential form is:

88957 = 11¹ × 8087¹

Step-3: Factors of 88946

List of positive integer factors of 88946 that divides 88946 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286, 311, 622, 3421, 4043, 6842, 8086, 44473

Step-4: Factors of 88957

List of positive integer factors of 88957 that divides 88946 without a remainder.

1, 11, 8087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88946 and 88957. The biggest common factor number is the GCF number.
So the greatest common factor 88946 and 88957 is 11.

Also check out the Least Common Multiple of 88946 and 88957