What is the Greatest Common Factor of 62720 and 62725?

Greatest common factor (GCF) of 62720 and 62725 is 5.

GCF(62720,62725) = 5

We will now calculate the prime factors of 62720 and 62725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62720 and 62725.

How to find the GCF of 62720 and 62725?

We will first find the prime factorization of 62720 and 62725. After we will calculate the factors of 62720 and 62725 and find the biggest common factor number .

Step-1: 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-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 62720

List of positive integer factors of 62720 that divides 62720 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

Step-4: Factors of 62725

List of positive integer factors of 62725 that divides 62720 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 62720 and 62725. The biggest common factor number is the GCF number.
So the greatest common factor 62720 and 62725 is 5.

Also check out the Least Common Multiple of 62720 and 62725