What is the Greatest Common Factor of 62505 and 62520?

Greatest common factor (GCF) of 62505 and 62520 is 15.

GCF(62505,62520) = 15

We will now calculate the prime factors of 62505 and 62520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62505 and 62520.

How to find the GCF of 62505 and 62520?

We will first find the prime factorization of 62505 and 62520. After we will calculate the factors of 62505 and 62520 and find the biggest common factor number .

Step-1: Prime Factorization of 62505

Prime factors of 62505 are 3, 5, 463. Prime factorization of 62505 in exponential form is:

62505 = 3³ × 5¹ × 463¹

Step-2: Prime Factorization of 62520

Prime factors of 62520 are 2, 3, 5, 521. Prime factorization of 62520 in exponential form is:

62520 = 2³ × 3¹ × 5¹ × 521¹

Step-3: Factors of 62505

List of positive integer factors of 62505 that divides 62505 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 463, 1389, 2315, 4167, 6945, 12501, 20835

Step-4: Factors of 62520

List of positive integer factors of 62520 that divides 62505 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 521, 1042, 1563, 2084, 2605, 3126, 4168, 5210, 6252, 7815, 10420, 12504, 15630, 20840, 31260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62505 and 62520. The biggest common factor number is the GCF number.
So the greatest common factor 62505 and 62520 is 15.

Also check out the Least Common Multiple of 62505 and 62520