What is the Greatest Common Factor of 59544 and 59553?

Greatest common factor (GCF) of 59544 and 59553 is 9.

GCF(59544,59553) = 9

We will now calculate the prime factors of 59544 and 59553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59544 and 59553.

How to find the GCF of 59544 and 59553?

We will first find the prime factorization of 59544 and 59553. After we will calculate the factors of 59544 and 59553 and find the biggest common factor number .

Step-1: Prime Factorization of 59544

Prime factors of 59544 are 2, 3, 827. Prime factorization of 59544 in exponential form is:

59544 = 2³ × 3² × 827¹

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 59544

List of positive integer factors of 59544 that divides 59544 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 827, 1654, 2481, 3308, 4962, 6616, 7443, 9924, 14886, 19848, 29772

Step-4: Factors of 59553

List of positive integer factors of 59553 that divides 59544 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 59544 and 59553. The biggest common factor number is the GCF number.
So the greatest common factor 59544 and 59553 is 9.

Also check out the Least Common Multiple of 59544 and 59553