What is the Greatest Common Factor of 59530 and 59540?

Greatest common factor (GCF) of 59530 and 59540 is 10.

GCF(59530,59540) = 10

We will now calculate the prime factors of 59530 and 59540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59530 and 59540.

How to find the GCF of 59530 and 59540?

We will first find the prime factorization of 59530 and 59540. After we will calculate the factors of 59530 and 59540 and find the biggest common factor number .

Step-1: Prime Factorization of 59530

Prime factors of 59530 are 2, 5, 5953. Prime factorization of 59530 in exponential form is:

59530 = 2¹ × 5¹ × 5953¹

Step-2: Prime Factorization of 59540

Prime factors of 59540 are 2, 5, 13, 229. Prime factorization of 59540 in exponential form is:

59540 = 2² × 5¹ × 13¹ × 229¹

Step-3: Factors of 59530

List of positive integer factors of 59530 that divides 59530 without a remainder.

1, 2, 5, 10, 5953, 11906, 29765

Step-4: Factors of 59540

List of positive integer factors of 59540 that divides 59530 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 229, 260, 458, 916, 1145, 2290, 2977, 4580, 5954, 11908, 14885, 29770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59530 and 59540. The biggest common factor number is the GCF number.
So the greatest common factor 59530 and 59540 is 10.

Also check out the Least Common Multiple of 59530 and 59540