What is the Greatest Common Factor of 59444 and 59452?

Greatest common factor (GCF) of 59444 and 59452 is 4.

GCF(59444,59452) = 4

We will now calculate the prime factors of 59444 and 59452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59444 and 59452.

How to find the GCF of 59444 and 59452?

We will first find the prime factorization of 59444 and 59452. After we will calculate the factors of 59444 and 59452 and find the biggest common factor number .

Step-1: Prime Factorization of 59444

Prime factors of 59444 are 2, 7, 11, 193. Prime factorization of 59444 in exponential form is:

59444 = 2² × 7¹ × 11¹ × 193¹

Step-2: 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-3: Factors of 59444

List of positive integer factors of 59444 that divides 59444 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 193, 308, 386, 772, 1351, 2123, 2702, 4246, 5404, 8492, 14861, 29722

Step-4: Factors of 59452

List of positive integer factors of 59452 that divides 59444 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59444 and 59452. The biggest common factor number is the GCF number.
So the greatest common factor 59444 and 59452 is 4.

Also check out the Least Common Multiple of 59444 and 59452