What is the Greatest Common Factor of 62605 and 62624?

Greatest common factor (GCF) of 62605 and 62624 is 19.

GCF(62605,62624) = 19

We will now calculate the prime factors of 62605 and 62624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62605 and 62624.

How to find the GCF of 62605 and 62624?

We will first find the prime factorization of 62605 and 62624. After we will calculate the factors of 62605 and 62624 and find the biggest common factor number .

Step-1: Prime Factorization of 62605

Prime factors of 62605 are 5, 19, 659. Prime factorization of 62605 in exponential form is:

62605 = 5¹ × 19¹ × 659¹

Step-2: Prime Factorization of 62624

Prime factors of 62624 are 2, 19, 103. Prime factorization of 62624 in exponential form is:

62624 = 2⁵ × 19¹ × 103¹

Step-3: Factors of 62605

List of positive integer factors of 62605 that divides 62605 without a remainder.

1, 5, 19, 95, 659, 3295, 12521

Step-4: Factors of 62624

List of positive integer factors of 62624 that divides 62605 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 103, 152, 206, 304, 412, 608, 824, 1648, 1957, 3296, 3914, 7828, 15656, 31312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62605 and 62624. The biggest common factor number is the GCF number.
So the greatest common factor 62605 and 62624 is 19.

Also check out the Least Common Multiple of 62605 and 62624