What is the Greatest Common Factor of 52710 and 52730?

Greatest common factor (GCF) of 52710 and 52730 is 10.

GCF(52710,52730) = 10

We will now calculate the prime factors of 52710 and 52730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52710 and 52730.

How to find the GCF of 52710 and 52730?

We will first find the prime factorization of 52710 and 52730. After we will calculate the factors of 52710 and 52730 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52730

Prime factors of 52730 are 2, 5, 5273. Prime factorization of 52730 in exponential form is:

52730 = 2¹ × 5¹ × 5273¹

Step-3: Factors of 52710

List of positive integer factors of 52710 that divides 52710 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

Step-4: Factors of 52730

List of positive integer factors of 52730 that divides 52710 without a remainder.

1, 2, 5, 10, 5273, 10546, 26365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52710 and 52730. The biggest common factor number is the GCF number.
So the greatest common factor 52710 and 52730 is 10.

Also check out the Least Common Multiple of 52710 and 52730