What is the Greatest Common Factor of 74544 and 74556?

Greatest common factor (GCF) of 74544 and 74556 is 12.

GCF(74544,74556) = 12

We will now calculate the prime factors of 74544 and 74556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74544 and 74556.

How to find the GCF of 74544 and 74556?

We will first find the prime factorization of 74544 and 74556. After we will calculate the factors of 74544 and 74556 and find the biggest common factor number .

Step-1: Prime Factorization of 74544

Prime factors of 74544 are 2, 3, 1553. Prime factorization of 74544 in exponential form is:

74544 = 2⁴ × 3¹ × 1553¹

Step-2: Prime Factorization of 74556

Prime factors of 74556 are 2, 3, 19, 109. Prime factorization of 74556 in exponential form is:

74556 = 2² × 3² × 19¹ × 109¹

Step-3: Factors of 74544

List of positive integer factors of 74544 that divides 74544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1553, 3106, 4659, 6212, 9318, 12424, 18636, 24848, 37272

Step-4: Factors of 74556

List of positive integer factors of 74556 that divides 74544 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 109, 114, 171, 218, 228, 327, 342, 436, 654, 684, 981, 1308, 1962, 2071, 3924, 4142, 6213, 8284, 12426, 18639, 24852, 37278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74544 and 74556. The biggest common factor number is the GCF number.
So the greatest common factor 74544 and 74556 is 12.

Also check out the Least Common Multiple of 74544 and 74556