What is the Greatest Common Factor of 59584 and 59591?

Greatest common factor (GCF) of 59584 and 59591 is 7.

GCF(59584,59591) = 7

We will now calculate the prime factors of 59584 and 59591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59584 and 59591.

How to find the GCF of 59584 and 59591?

We will first find the prime factorization of 59584 and 59591. After we will calculate the factors of 59584 and 59591 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 59591

Prime factors of 59591 are 7, 8513. Prime factorization of 59591 in exponential form is:

59591 = 7¹ × 8513¹

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 59591

List of positive integer factors of 59591 that divides 59584 without a remainder.

1, 7, 8513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59584 and 59591. The biggest common factor number is the GCF number.
So the greatest common factor 59584 and 59591 is 7.

Also check out the Least Common Multiple of 59584 and 59591