What is the Greatest Common Factor of 32657 and 32674?

Greatest common factor (GCF) of 32657 and 32674 is 17.

GCF(32657,32674) = 17

We will now calculate the prime factors of 32657 and 32674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32657 and 32674.

How to find the GCF of 32657 and 32674?

We will first find the prime factorization of 32657 and 32674. After we will calculate the factors of 32657 and 32674 and find the biggest common factor number .

Step-1: Prime Factorization of 32657

Prime factors of 32657 are 17, 113. Prime factorization of 32657 in exponential form is:

32657 = 17² × 113¹

Step-2: Prime Factorization of 32674

Prime factors of 32674 are 2, 17, 31. Prime factorization of 32674 in exponential form is:

32674 = 2¹ × 17¹ × 31²

Step-3: Factors of 32657

List of positive integer factors of 32657 that divides 32657 without a remainder.

1, 17, 113, 289, 1921

Step-4: Factors of 32674

List of positive integer factors of 32674 that divides 32657 without a remainder.

1, 2, 17, 31, 34, 62, 527, 961, 1054, 1922, 16337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32657 and 32674. The biggest common factor number is the GCF number.
So the greatest common factor 32657 and 32674 is 17.

Also check out the Least Common Multiple of 32657 and 32674