What is the Greatest Common Factor of 59544 and 59556?

Greatest common factor (GCF) of 59544 and 59556 is 12.

GCF(59544,59556) = 12

We will now calculate the prime factors of 59544 and 59556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59544 and 59556.

How to find the GCF of 59544 and 59556?

We will first find the prime factorization of 59544 and 59556. After we will calculate the factors of 59544 and 59556 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 59556

Prime factors of 59556 are 2, 3, 7, 709. Prime factorization of 59556 in exponential form is:

59556 = 2² × 3¹ × 7¹ × 709¹

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 59556

List of positive integer factors of 59556 that divides 59544 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 709, 1418, 2127, 2836, 4254, 4963, 8508, 9926, 14889, 19852, 29778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59544 and 59556. The biggest common factor number is the GCF number.
So the greatest common factor 59544 and 59556 is 12.

Also check out the Least Common Multiple of 59544 and 59556