What is the Greatest Common Factor of 52914 and 52932?

Greatest common factor (GCF) of 52914 and 52932 is 6.

GCF(52914,52932) = 6

We will now calculate the prime factors of 52914 and 52932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52914 and 52932.

How to find the GCF of 52914 and 52932?

We will first find the prime factorization of 52914 and 52932. After we will calculate the factors of 52914 and 52932 and find the biggest common factor number .

Step-1: Prime Factorization of 52914

Prime factors of 52914 are 2, 3, 8819. Prime factorization of 52914 in exponential form is:

52914 = 2¹ × 3¹ × 8819¹

Step-2: Prime Factorization of 52932

Prime factors of 52932 are 2, 3, 11, 401. Prime factorization of 52932 in exponential form is:

52932 = 2² × 3¹ × 11¹ × 401¹

Step-3: Factors of 52914

List of positive integer factors of 52914 that divides 52914 without a remainder.

1, 2, 3, 6, 8819, 17638, 26457

Step-4: Factors of 52932

List of positive integer factors of 52932 that divides 52914 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 401, 802, 1203, 1604, 2406, 4411, 4812, 8822, 13233, 17644, 26466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52914 and 52932. The biggest common factor number is the GCF number.
So the greatest common factor 52914 and 52932 is 6.

Also check out the Least Common Multiple of 52914 and 52932