What is the Greatest Common Factor of 59584 and 59596?

Greatest common factor (GCF) of 59584 and 59596 is 4.

GCF(59584,59596) = 4

We will now calculate the prime factors of 59584 and 59596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59584 and 59596.

How to find the GCF of 59584 and 59596?

We will first find the prime factorization of 59584 and 59596. After we will calculate the factors of 59584 and 59596 and find the biggest common factor number .

Step-1: Prime Factorization of 59584

Prime factors of 59584 are 2, 7, 19. Prime factorization of 59584 in exponential form is:

59584 = 2⁶ × 7² × 19¹

Step-2: Prime Factorization of 59596

Prime factors of 59596 are 2, 47, 317. Prime factorization of 59596 in exponential form is:

59596 = 2² × 47¹ × 317¹

Step-3: Factors of 59584

List of positive integer factors of 59584 that divides 59584 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 49, 56, 64, 76, 98, 112, 133, 152, 196, 224, 266, 304, 392, 448, 532, 608, 784, 931, 1064, 1216, 1568, 1862, 2128, 3136, 3724, 4256, 7448, 8512, 14896, 29792

Step-4: Factors of 59596

List of positive integer factors of 59596 that divides 59584 without a remainder.

1, 2, 4, 47, 94, 188, 317, 634, 1268, 14899, 29798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59584 and 59596. The biggest common factor number is the GCF number.
So the greatest common factor 59584 and 59596 is 4.

Also check out the Least Common Multiple of 59584 and 59596