What is the Greatest Common Factor of 59584 and 59598?

Greatest common factor (GCF) of 59584 and 59598 is 14.

GCF(59584,59598) = 14

We will now calculate the prime factors of 59584 and 59598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59584 and 59598.

How to find the GCF of 59584 and 59598?

We will first find the prime factorization of 59584 and 59598. After we will calculate the factors of 59584 and 59598 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 59598

Prime factors of 59598 are 2, 3, 7, 11, 43. Prime factorization of 59598 in exponential form is:

59598 = 2¹ × 3² × 7¹ × 11¹ × 43¹

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 59598

List of positive integer factors of 59598 that divides 59584 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 43, 63, 66, 77, 86, 99, 126, 129, 154, 198, 231, 258, 301, 387, 462, 473, 602, 693, 774, 903, 946, 1386, 1419, 1806, 2709, 2838, 3311, 4257, 5418, 6622, 8514, 9933, 19866, 29799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59584 and 59598. The biggest common factor number is the GCF number.
So the greatest common factor 59584 and 59598 is 14.

Also check out the Least Common Multiple of 59584 and 59598