What is the Greatest Common Factor of 62590 and 62605?

Greatest common factor (GCF) of 62590 and 62605 is 5.

GCF(62590,62605) = 5

We will now calculate the prime factors of 62590 and 62605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62590 and 62605.

How to find the GCF of 62590 and 62605?

We will first find the prime factorization of 62590 and 62605. After we will calculate the factors of 62590 and 62605 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 62590

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

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

Step-4: Factors of 62605

List of positive integer factors of 62605 that divides 62590 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62590 and 62605. The biggest common factor number is the GCF number.
So the greatest common factor 62590 and 62605 is 5.

Also check out the Least Common Multiple of 62590 and 62605