What is the Greatest Common Factor of 59584 and 59597?

Greatest common factor (GCF) of 59584 and 59597 is 1.

GCF(59584,59597) = 1

We will now calculate the prime factors of 59584 and 59597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59584 and 59597.

How to find the GCF of 59584 and 59597?

We will first find the prime factorization of 59584 and 59597. After we will calculate the factors of 59584 and 59597 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 59597

Prime factors of 59597 are 61, 977. Prime factorization of 59597 in exponential form is:

59597 = 61¹ × 977¹

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 59597

List of positive integer factors of 59597 that divides 59584 without a remainder.

1, 61, 977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59584 and 59597. The biggest common factor number is the GCF number.
So the greatest common factor 59584 and 59597 is 1.

Also check out the Least Common Multiple of 59584 and 59597