What is the Greatest Common Factor of 32956 and 32970?

Greatest common factor (GCF) of 32956 and 32970 is 14.

GCF(32956,32970) = 14

We will now calculate the prime factors of 32956 and 32970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32956 and 32970.

How to find the GCF of 32956 and 32970?

We will first find the prime factorization of 32956 and 32970. After we will calculate the factors of 32956 and 32970 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32970

Prime factors of 32970 are 2, 3, 5, 7, 157. Prime factorization of 32970 in exponential form is:

32970 = 2¹ × 3¹ × 5¹ × 7¹ × 157¹

Step-3: Factors of 32956

List of positive integer factors of 32956 that divides 32956 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

Step-4: Factors of 32970

List of positive integer factors of 32970 that divides 32956 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 157, 210, 314, 471, 785, 942, 1099, 1570, 2198, 2355, 3297, 4710, 5495, 6594, 10990, 16485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32956 and 32970. The biggest common factor number is the GCF number.
So the greatest common factor 32956 and 32970 is 14.

Also check out the Least Common Multiple of 32956 and 32970