What is the Greatest Common Factor of 59472 and 59487?

Greatest common factor (GCF) of 59472 and 59487 is 3.

GCF(59472,59487) = 3

We will now calculate the prime factors of 59472 and 59487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59472 and 59487.

How to find the GCF of 59472 and 59487?

We will first find the prime factorization of 59472 and 59487. After we will calculate the factors of 59472 and 59487 and find the biggest common factor number .

Step-1: Prime Factorization of 59472

Prime factors of 59472 are 2, 3, 7, 59. Prime factorization of 59472 in exponential form is:

59472 = 2⁴ × 3² × 7¹ × 59¹

Step-2: Prime Factorization of 59487

Prime factors of 59487 are 3, 79, 251. Prime factorization of 59487 in exponential form is:

59487 = 3¹ × 79¹ × 251¹

Step-3: Factors of 59472

List of positive integer factors of 59472 that divides 59472 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 59, 63, 72, 84, 112, 118, 126, 144, 168, 177, 236, 252, 336, 354, 413, 472, 504, 531, 708, 826, 944, 1008, 1062, 1239, 1416, 1652, 2124, 2478, 2832, 3304, 3717, 4248, 4956, 6608, 7434, 8496, 9912, 14868, 19824, 29736

Step-4: Factors of 59487

List of positive integer factors of 59487 that divides 59472 without a remainder.

1, 3, 79, 237, 251, 753, 19829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59472 and 59487. The biggest common factor number is the GCF number.
So the greatest common factor 59472 and 59487 is 3.

Also check out the Least Common Multiple of 59472 and 59487