What is the Greatest Common Factor of 32939 and 32956?

Greatest common factor (GCF) of 32939 and 32956 is 1.

GCF(32939,32956) = 1

We will now calculate the prime factors of 32939 and 32956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32939 and 32956.

How to find the GCF of 32939 and 32956?

We will first find the prime factorization of 32939 and 32956. After we will calculate the factors of 32939 and 32956 and find the biggest common factor number .

Step-1: Prime Factorization of 32939

Prime factors of 32939 are 32939. Prime factorization of 32939 in exponential form is:

32939 = 32939¹

Step-2: Prime Factorization of 32956

Prime factors of 32956 are 2, 7, 11, 107. Prime factorization of 32956 in exponential form is:

32956 = 2² × 7¹ × 11¹ × 107¹

Step-3: Factors of 32939

List of positive integer factors of 32939 that divides 32939 without a remainder.

Step-4: Factors of 32956

List of positive integer factors of 32956 that divides 32939 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 107, 154, 214, 308, 428, 749, 1177, 1498, 2354, 2996, 4708, 8239, 16478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32939 and 32956. The biggest common factor number is the GCF number.
So the greatest common factor 32939 and 32956 is 1.

Also check out the Least Common Multiple of 32939 and 32956