What is the Greatest Common Factor of 59430 and 59444?

Greatest common factor (GCF) of 59430 and 59444 is 14.

GCF(59430,59444) = 14

We will now calculate the prime factors of 59430 and 59444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59430 and 59444.

How to find the GCF of 59430 and 59444?

We will first find the prime factorization of 59430 and 59444. After we will calculate the factors of 59430 and 59444 and find the biggest common factor number .

Step-1: Prime Factorization of 59430

Prime factors of 59430 are 2, 3, 5, 7, 283. Prime factorization of 59430 in exponential form is:

59430 = 2¹ × 3¹ × 5¹ × 7¹ × 283¹

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 59430

List of positive integer factors of 59430 that divides 59430 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 283, 566, 849, 1415, 1698, 1981, 2830, 3962, 4245, 5943, 8490, 9905, 11886, 19810, 29715

Step-4: Factors of 59444

List of positive integer factors of 59444 that divides 59430 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 59430 and 59444. The biggest common factor number is the GCF number.
So the greatest common factor 59430 and 59444 is 14.

Also check out the Least Common Multiple of 59430 and 59444