What is the Greatest Common Factor of 59553 and 59566?

Greatest common factor (GCF) of 59553 and 59566 is 13.

GCF(59553,59566) = 13

We will now calculate the prime factors of 59553 and 59566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59553 and 59566.

How to find the GCF of 59553 and 59566?

We will first find the prime factorization of 59553 and 59566. After we will calculate the factors of 59553 and 59566 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59566

Prime factors of 59566 are 2, 13, 29, 79. Prime factorization of 59566 in exponential form is:

59566 = 2¹ × 13¹ × 29¹ × 79¹

Step-3: Factors of 59553

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

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

Step-4: Factors of 59566

List of positive integer factors of 59566 that divides 59553 without a remainder.

1, 2, 13, 26, 29, 58, 79, 158, 377, 754, 1027, 2054, 2291, 4582, 29783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59553 and 59566. The biggest common factor number is the GCF number.
So the greatest common factor 59553 and 59566 is 13.

Also check out the Least Common Multiple of 59553 and 59566