What is the Greatest Common Factor of 59566 and 59579?

Greatest common factor (GCF) of 59566 and 59579 is 13.

GCF(59566,59579) = 13

We will now calculate the prime factors of 59566 and 59579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59566 and 59579.

How to find the GCF of 59566 and 59579?

We will first find the prime factorization of 59566 and 59579. After we will calculate the factors of 59566 and 59579 and find the biggest common factor number .

Step-1: Prime Factorization of 59566

Prime factors of 59566 are 2, 13, 29, 79. Prime factorization of 59566 in exponential form is:

59566 = 2¹ × 13¹ × 29¹ × 79¹

Step-2: Prime Factorization of 59579

Prime factors of 59579 are 13, 4583. Prime factorization of 59579 in exponential form is:

59579 = 13¹ × 4583¹

Step-3: Factors of 59566

List of positive integer factors of 59566 that divides 59566 without a remainder.

1, 2, 13, 26, 29, 58, 79, 158, 377, 754, 1027, 2054, 2291, 4582, 29783

Step-4: Factors of 59579

List of positive integer factors of 59579 that divides 59566 without a remainder.

1, 13, 4583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59566 and 59579. The biggest common factor number is the GCF number.
So the greatest common factor 59566 and 59579 is 13.

Also check out the Least Common Multiple of 59566 and 59579