What is the Greatest Common Factor of 62575 and 62590?

Greatest common factor (GCF) of 62575 and 62590 is 5.

GCF(62575,62590) = 5

We will now calculate the prime factors of 62575 and 62590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62575 and 62590.

How to find the GCF of 62575 and 62590?

We will first find the prime factorization of 62575 and 62590. After we will calculate the factors of 62575 and 62590 and find the biggest common factor number .

Step-1: Prime Factorization of 62575

Prime factors of 62575 are 5, 2503. Prime factorization of 62575 in exponential form is:

62575 = 5² × 2503¹

Step-2: Prime Factorization of 62590

Prime factors of 62590 are 2, 5, 11, 569. Prime factorization of 62590 in exponential form is:

62590 = 2¹ × 5¹ × 11¹ × 569¹

Step-3: Factors of 62575

List of positive integer factors of 62575 that divides 62575 without a remainder.

1, 5, 25, 2503, 12515

Step-4: Factors of 62590

List of positive integer factors of 62590 that divides 62575 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 569, 1138, 2845, 5690, 6259, 12518, 31295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62575 and 62590. The biggest common factor number is the GCF number.
So the greatest common factor 62575 and 62590 is 5.

Also check out the Least Common Multiple of 62575 and 62590