What is the Greatest Common Factor of 59290 and 59300?

Greatest common factor (GCF) of 59290 and 59300 is 10.

GCF(59290,59300) = 10

We will now calculate the prime factors of 59290 and 59300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59290 and 59300.

How to find the GCF of 59290 and 59300?

We will first find the prime factorization of 59290 and 59300. After we will calculate the factors of 59290 and 59300 and find the biggest common factor number .

Step-1: Prime Factorization of 59290

Prime factors of 59290 are 2, 5, 7, 11. Prime factorization of 59290 in exponential form is:

59290 = 2¹ × 5¹ × 7² × 11²

Step-2: Prime Factorization of 59300

Prime factors of 59300 are 2, 5, 593. Prime factorization of 59300 in exponential form is:

59300 = 2² × 5² × 593¹

Step-3: Factors of 59290

List of positive integer factors of 59290 that divides 59290 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 121, 154, 242, 245, 385, 490, 539, 605, 770, 847, 1078, 1210, 1694, 2695, 4235, 5390, 5929, 8470, 11858, 29645

Step-4: Factors of 59300

List of positive integer factors of 59300 that divides 59290 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 593, 1186, 2372, 2965, 5930, 11860, 14825, 29650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59290 and 59300. The biggest common factor number is the GCF number.
So the greatest common factor 59290 and 59300 is 10.

Also check out the Least Common Multiple of 59290 and 59300