What is the Greatest Common Factor of 52698 and 52710?

Greatest common factor (GCF) of 52698 and 52710 is 6.

GCF(52698,52710) = 6

We will now calculate the prime factors of 52698 and 52710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52698 and 52710.

How to find the GCF of 52698 and 52710?

We will first find the prime factorization of 52698 and 52710. After we will calculate the factors of 52698 and 52710 and find the biggest common factor number .

Step-1: Prime Factorization of 52698

Prime factors of 52698 are 2, 3, 8783. Prime factorization of 52698 in exponential form is:

52698 = 2¹ × 3¹ × 8783¹

Step-2: Prime Factorization of 52710

Prime factors of 52710 are 2, 3, 5, 7, 251. Prime factorization of 52710 in exponential form is:

52710 = 2¹ × 3¹ × 5¹ × 7¹ × 251¹

Step-3: Factors of 52698

List of positive integer factors of 52698 that divides 52698 without a remainder.

1, 2, 3, 6, 8783, 17566, 26349

Step-4: Factors of 52710

List of positive integer factors of 52710 that divides 52698 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 251, 502, 753, 1255, 1506, 1757, 2510, 3514, 3765, 5271, 7530, 8785, 10542, 17570, 26355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52698 and 52710. The biggest common factor number is the GCF number.
So the greatest common factor 52698 and 52710 is 6.

Also check out the Least Common Multiple of 52698 and 52710