What is the Greatest Common Factor of 59584 and 59594?

Greatest common factor (GCF) of 59584 and 59594 is 2.

GCF(59584,59594) = 2

We will now calculate the prime factors of 59584 and 59594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59584 and 59594.

How to find the GCF of 59584 and 59594?

We will first find the prime factorization of 59584 and 59594. After we will calculate the factors of 59584 and 59594 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 59594

Prime factors of 59594 are 2, 83, 359. Prime factorization of 59594 in exponential form is:

59594 = 2¹ × 83¹ × 359¹

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 59594

List of positive integer factors of 59594 that divides 59584 without a remainder.

1, 2, 83, 166, 359, 718, 29797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59584 and 59594. The biggest common factor number is the GCF number.
So the greatest common factor 59584 and 59594 is 2.

Also check out the Least Common Multiple of 59584 and 59594