What is the Greatest Common Factor of 62579 and 62590?

Greatest common factor (GCF) of 62579 and 62590 is 11.

GCF(62579,62590) = 11

We will now calculate the prime factors of 62579 and 62590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62579 and 62590.

How to find the GCF of 62579 and 62590?

We will first find the prime factorization of 62579 and 62590. After we will calculate the factors of 62579 and 62590 and find the biggest common factor number .

Step-1: Prime Factorization of 62579

Prime factors of 62579 are 11, 5689. Prime factorization of 62579 in exponential form is:

62579 = 11¹ × 5689¹

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 62579

List of positive integer factors of 62579 that divides 62579 without a remainder.

1, 11, 5689

Step-4: Factors of 62590

List of positive integer factors of 62590 that divides 62579 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 62579 and 62590. The biggest common factor number is the GCF number.
So the greatest common factor 62579 and 62590 is 11.

Also check out the Least Common Multiple of 62579 and 62590