What is the Greatest Common Factor of 32949 and 32957?

Greatest common factor (GCF) of 32949 and 32957 is 1.

GCF(32949,32957) = 1

We will now calculate the prime factors of 32949 and 32957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32949 and 32957.

How to find the GCF of 32949 and 32957?

We will first find the prime factorization of 32949 and 32957. After we will calculate the factors of 32949 and 32957 and find the biggest common factor number .

Step-1: Prime Factorization of 32949

Prime factors of 32949 are 3, 7, 523. Prime factorization of 32949 in exponential form is:

32949 = 3² × 7¹ × 523¹

Step-2: Prime Factorization of 32957

Prime factors of 32957 are 32957. Prime factorization of 32957 in exponential form is:

32957 = 32957¹

Step-3: Factors of 32949

List of positive integer factors of 32949 that divides 32949 without a remainder.

1, 3, 7, 9, 21, 63, 523, 1569, 3661, 4707, 10983

Step-4: Factors of 32957

List of positive integer factors of 32957 that divides 32949 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32949 and 32957. The biggest common factor number is the GCF number.
So the greatest common factor 32949 and 32957 is 1.

Also check out the Least Common Multiple of 32949 and 32957