What is the Greatest Common Factor of 62710 and 62720?

Greatest common factor (GCF) of 62710 and 62720 is 10.

GCF(62710,62720) = 10

We will now calculate the prime factors of 62710 and 62720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62710 and 62720.

How to find the GCF of 62710 and 62720?

We will first find the prime factorization of 62710 and 62720. After we will calculate the factors of 62710 and 62720 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 62720

Prime factors of 62720 are 2, 5, 7. Prime factorization of 62720 in exponential form is:

62720 = 2⁸ × 5¹ × 7²

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 62720

List of positive integer factors of 62720 that divides 62710 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 64, 70, 80, 98, 112, 128, 140, 160, 196, 224, 245, 256, 280, 320, 392, 448, 490, 560, 640, 784, 896, 980, 1120, 1280, 1568, 1792, 1960, 2240, 3136, 3920, 4480, 6272, 7840, 8960, 12544, 15680, 31360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62710 and 62720. The biggest common factor number is the GCF number.
So the greatest common factor 62710 and 62720 is 10.

Also check out the Least Common Multiple of 62710 and 62720