What is the Greatest Common Factor of 52968 and 52976?

Greatest common factor (GCF) of 52968 and 52976 is 8.

GCF(52968,52976) = 8

We will now calculate the prime factors of 52968 and 52976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52968 and 52976.

How to find the GCF of 52968 and 52976?

We will first find the prime factorization of 52968 and 52976. After we will calculate the factors of 52968 and 52976 and find the biggest common factor number .

Step-1: Prime Factorization of 52968

Prime factors of 52968 are 2, 3, 2207. Prime factorization of 52968 in exponential form is:

52968 = 2³ × 3¹ × 2207¹

Step-2: Prime Factorization of 52976

Prime factors of 52976 are 2, 7, 11, 43. Prime factorization of 52976 in exponential form is:

52976 = 2⁴ × 7¹ × 11¹ × 43¹

Step-3: Factors of 52968

List of positive integer factors of 52968 that divides 52968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2207, 4414, 6621, 8828, 13242, 17656, 26484

Step-4: Factors of 52976

List of positive integer factors of 52976 that divides 52968 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 43, 44, 56, 77, 86, 88, 112, 154, 172, 176, 301, 308, 344, 473, 602, 616, 688, 946, 1204, 1232, 1892, 2408, 3311, 3784, 4816, 6622, 7568, 13244, 26488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52968 and 52976. The biggest common factor number is the GCF number.
So the greatest common factor 52968 and 52976 is 8.

Also check out the Least Common Multiple of 52968 and 52976