What is the Greatest Common Factor of 59576 and 59587?

Greatest common factor (GCF) of 59576 and 59587 is 11.

GCF(59576,59587) = 11

We will now calculate the prime factors of 59576 and 59587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59576 and 59587.

How to find the GCF of 59576 and 59587?

We will first find the prime factorization of 59576 and 59587. After we will calculate the factors of 59576 and 59587 and find the biggest common factor number .

Step-1: Prime Factorization of 59576

Prime factors of 59576 are 2, 11, 677. Prime factorization of 59576 in exponential form is:

59576 = 2³ × 11¹ × 677¹

Step-2: Prime Factorization of 59587

Prime factors of 59587 are 11, 5417. Prime factorization of 59587 in exponential form is:

59587 = 11¹ × 5417¹

Step-3: Factors of 59576

List of positive integer factors of 59576 that divides 59576 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 677, 1354, 2708, 5416, 7447, 14894, 29788

Step-4: Factors of 59587

List of positive integer factors of 59587 that divides 59576 without a remainder.

1, 11, 5417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59576 and 59587. The biggest common factor number is the GCF number.
So the greatest common factor 59576 and 59587 is 11.

Also check out the Least Common Multiple of 59576 and 59587