What is the Greatest Common Factor of 51708 and 51728?

Greatest common factor (GCF) of 51708 and 51728 is 4.

GCF(51708,51728) = 4

We will now calculate the prime factors of 51708 and 51728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51708 and 51728.

How to find the GCF of 51708 and 51728?

We will first find the prime factorization of 51708 and 51728. After we will calculate the factors of 51708 and 51728 and find the biggest common factor number .

Step-1: Prime Factorization of 51708

Prime factors of 51708 are 2, 3, 31, 139. Prime factorization of 51708 in exponential form is:

51708 = 2² × 3¹ × 31¹ × 139¹

Step-2: Prime Factorization of 51728

Prime factors of 51728 are 2, 53, 61. Prime factorization of 51728 in exponential form is:

51728 = 2⁴ × 53¹ × 61¹

Step-3: Factors of 51708

List of positive integer factors of 51708 that divides 51708 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 139, 186, 278, 372, 417, 556, 834, 1668, 4309, 8618, 12927, 17236, 25854

Step-4: Factors of 51728

List of positive integer factors of 51728 that divides 51708 without a remainder.

1, 2, 4, 8, 16, 53, 61, 106, 122, 212, 244, 424, 488, 848, 976, 3233, 6466, 12932, 25864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51708 and 51728. The biggest common factor number is the GCF number.
So the greatest common factor 51708 and 51728 is 4.

Also check out the Least Common Multiple of 51708 and 51728