What is the Greatest Common Factor of 32945 and 32956?

Greatest common factor (GCF) of 32945 and 32956 is 11.

GCF(32945,32956) = 11

We will now calculate the prime factors of 32945 and 32956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32945 and 32956.

How to find the GCF of 32945 and 32956?

We will first find the prime factorization of 32945 and 32956. After we will calculate the factors of 32945 and 32956 and find the biggest common factor number .

Step-1: Prime Factorization of 32945

Prime factors of 32945 are 5, 11, 599. Prime factorization of 32945 in exponential form is:

32945 = 5¹ × 11¹ × 599¹

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 32945

List of positive integer factors of 32945 that divides 32945 without a remainder.

1, 5, 11, 55, 599, 2995, 6589

Step-4: Factors of 32956

List of positive integer factors of 32956 that divides 32945 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 32945 and 32956. The biggest common factor number is the GCF number.
So the greatest common factor 32945 and 32956 is 11.

Also check out the Least Common Multiple of 32945 and 32956