What is the Greatest Common Factor of 59437 and 59444?

Greatest common factor (GCF) of 59437 and 59444 is 7.

GCF(59437,59444) = 7

We will now calculate the prime factors of 59437 and 59444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59437 and 59444.

How to find the GCF of 59437 and 59444?

We will first find the prime factorization of 59437 and 59444. After we will calculate the factors of 59437 and 59444 and find the biggest common factor number .

Step-1: Prime Factorization of 59437

Prime factors of 59437 are 7, 1213. Prime factorization of 59437 in exponential form is:

59437 = 7² × 1213¹

Step-2: 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-3: Factors of 59437

List of positive integer factors of 59437 that divides 59437 without a remainder.

1, 7, 49, 1213, 8491

Step-4: Factors of 59444

List of positive integer factors of 59444 that divides 59437 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59437 and 59444. The biggest common factor number is the GCF number.
So the greatest common factor 59437 and 59444 is 7.

Also check out the Least Common Multiple of 59437 and 59444