What is the Greatest Common Factor of 59540 and 59553?

Greatest common factor (GCF) of 59540 and 59553 is 13.

GCF(59540,59553) = 13

We will now calculate the prime factors of 59540 and 59553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59540 and 59553.

How to find the GCF of 59540 and 59553?

We will first find the prime factorization of 59540 and 59553. After we will calculate the factors of 59540 and 59553 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 59553

Prime factors of 59553 are 3, 13, 509. Prime factorization of 59553 in exponential form is:

59553 = 3² × 13¹ × 509¹

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 59553

List of positive integer factors of 59553 that divides 59540 without a remainder.

1, 3, 9, 13, 39, 117, 509, 1527, 4581, 6617, 19851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59540 and 59553. The biggest common factor number is the GCF number.
So the greatest common factor 59540 and 59553 is 13.

Also check out the Least Common Multiple of 59540 and 59553