What is the Greatest Common Factor of 59452 and 59472?

Greatest common factor (GCF) of 59452 and 59472 is 4.

GCF(59452,59472) = 4

We will now calculate the prime factors of 59452 and 59472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59452 and 59472.

How to find the GCF of 59452 and 59472?

We will first find the prime factorization of 59452 and 59472. After we will calculate the factors of 59452 and 59472 and find the biggest common factor number .

Step-1: Prime Factorization of 59452

Prime factors of 59452 are 2, 89, 167. Prime factorization of 59452 in exponential form is:

59452 = 2² × 89¹ × 167¹

Step-2: 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-3: Factors of 59452

List of positive integer factors of 59452 that divides 59452 without a remainder.

1, 2, 4, 89, 167, 178, 334, 356, 668, 14863, 29726

Step-4: Factors of 59472

List of positive integer factors of 59472 that divides 59452 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59452 and 59472. The biggest common factor number is the GCF number.
So the greatest common factor 59452 and 59472 is 4.

Also check out the Least Common Multiple of 59452 and 59472