What is the Greatest Common Factor of 88949 and 88957?

Greatest common factor (GCF) of 88949 and 88957 is 1.

GCF(88949,88957) = 1

We will now calculate the prime factors of 88949 and 88957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88949 and 88957.

How to find the GCF of 88949 and 88957?

We will first find the prime factorization of 88949 and 88957. After we will calculate the factors of 88949 and 88957 and find the biggest common factor number .

Step-1: Prime Factorization of 88949

Prime factors of 88949 are 7, 97, 131. Prime factorization of 88949 in exponential form is:

88949 = 7¹ × 97¹ × 131¹

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 88949

List of positive integer factors of 88949 that divides 88949 without a remainder.

1, 7, 97, 131, 679, 917, 12707

Step-4: Factors of 88957

List of positive integer factors of 88957 that divides 88949 without a remainder.

1, 11, 8087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88949 and 88957. The biggest common factor number is the GCF number.
So the greatest common factor 88949 and 88957 is 1.

Also check out the Least Common Multiple of 88949 and 88957