What is the Greatest Common Factor of 59540 and 59560?

Greatest common factor (GCF) of 59540 and 59560 is 20.

GCF(59540,59560) = 20

We will now calculate the prime factors of 59540 and 59560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59540 and 59560.

How to find the GCF of 59540 and 59560?

We will first find the prime factorization of 59540 and 59560. After we will calculate the factors of 59540 and 59560 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59560

Prime factors of 59560 are 2, 5, 1489. Prime factorization of 59560 in exponential form is:

59560 = 2³ × 5¹ × 1489¹

Step-3: Factors of 59540

List of positive integer factors of 59540 that divides 59540 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

Step-4: Factors of 59560

List of positive integer factors of 59560 that divides 59540 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1489, 2978, 5956, 7445, 11912, 14890, 29780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59540 and 59560. The biggest common factor number is the GCF number.
So the greatest common factor 59540 and 59560 is 20.

Also check out the Least Common Multiple of 59540 and 59560