What is the Greatest Common Factor of 59472 and 59476?

Greatest common factor (GCF) of 59472 and 59476 is 4.

GCF(59472,59476) = 4

We will now calculate the prime factors of 59472 and 59476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59472 and 59476.

How to find the GCF of 59472 and 59476?

We will first find the prime factorization of 59472 and 59476. After we will calculate the factors of 59472 and 59476 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 59476

Prime factors of 59476 are 2, 14869. Prime factorization of 59476 in exponential form is:

59476 = 2² × 14869¹

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 59476

List of positive integer factors of 59476 that divides 59472 without a remainder.

1, 2, 4, 14869, 29738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59472 and 59476. The biggest common factor number is the GCF number.
So the greatest common factor 59472 and 59476 is 4.

Also check out the Least Common Multiple of 59472 and 59476