What is the Greatest Common Factor of 62710 and 62725?

Greatest common factor (GCF) of 62710 and 62725 is 5.

GCF(62710,62725) = 5

We will now calculate the prime factors of 62710 and 62725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62710 and 62725.

How to find the GCF of 62710 and 62725?

We will first find the prime factorization of 62710 and 62725. After we will calculate the factors of 62710 and 62725 and find the biggest common factor number .

Step-1: Prime Factorization of 62710

Prime factors of 62710 are 2, 5, 6271. Prime factorization of 62710 in exponential form is:

62710 = 2¹ × 5¹ × 6271¹

Step-2: Prime Factorization of 62725

Prime factors of 62725 are 5, 13, 193. Prime factorization of 62725 in exponential form is:

62725 = 5² × 13¹ × 193¹

Step-3: Factors of 62710

List of positive integer factors of 62710 that divides 62710 without a remainder.

1, 2, 5, 10, 6271, 12542, 31355

Step-4: Factors of 62725

List of positive integer factors of 62725 that divides 62710 without a remainder.

1, 5, 13, 25, 65, 193, 325, 965, 2509, 4825, 12545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62710 and 62725. The biggest common factor number is the GCF number.
So the greatest common factor 62710 and 62725 is 5.

Also check out the Least Common Multiple of 62710 and 62725