What is the Greatest Common Factor of 74664 and 74684?

Greatest common factor (GCF) of 74664 and 74684 is 4.

GCF(74664,74684) = 4

We will now calculate the prime factors of 74664 and 74684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74664 and 74684.

How to find the GCF of 74664 and 74684?

We will first find the prime factorization of 74664 and 74684. After we will calculate the factors of 74664 and 74684 and find the biggest common factor number .

Step-1: Prime Factorization of 74664

Prime factors of 74664 are 2, 3, 17, 61. Prime factorization of 74664 in exponential form is:

74664 = 2³ × 3² × 17¹ × 61¹

Step-2: Prime Factorization of 74684

Prime factors of 74684 are 2, 18671. Prime factorization of 74684 in exponential form is:

74684 = 2² × 18671¹

Step-3: Factors of 74664

List of positive integer factors of 74664 that divides 74664 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 61, 68, 72, 102, 122, 136, 153, 183, 204, 244, 306, 366, 408, 488, 549, 612, 732, 1037, 1098, 1224, 1464, 2074, 2196, 3111, 4148, 4392, 6222, 8296, 9333, 12444, 18666, 24888, 37332

Step-4: Factors of 74684

List of positive integer factors of 74684 that divides 74664 without a remainder.

1, 2, 4, 18671, 37342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74664 and 74684. The biggest common factor number is the GCF number.
So the greatest common factor 74664 and 74684 is 4.

Also check out the Least Common Multiple of 74664 and 74684