What is the Greatest Common Factor of 73674 and 73680?

Greatest common factor (GCF) of 73674 and 73680 is 6.

GCF(73674,73680) = 6

We will now calculate the prime factors of 73674 and 73680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73674 and 73680.

How to find the GCF of 73674 and 73680?

We will first find the prime factorization of 73674 and 73680. After we will calculate the factors of 73674 and 73680 and find the biggest common factor number .

Step-1: Prime Factorization of 73674

Prime factors of 73674 are 2, 3, 4093. Prime factorization of 73674 in exponential form is:

73674 = 2¹ × 3² × 4093¹

Step-2: Prime Factorization of 73680

Prime factors of 73680 are 2, 3, 5, 307. Prime factorization of 73680 in exponential form is:

73680 = 2⁴ × 3¹ × 5¹ × 307¹

Step-3: Factors of 73674

List of positive integer factors of 73674 that divides 73674 without a remainder.

1, 2, 3, 6, 9, 18, 4093, 8186, 12279, 24558, 36837

Step-4: Factors of 73680

List of positive integer factors of 73680 that divides 73674 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 307, 614, 921, 1228, 1535, 1842, 2456, 3070, 3684, 4605, 4912, 6140, 7368, 9210, 12280, 14736, 18420, 24560, 36840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73674 and 73680. The biggest common factor number is the GCF number.
So the greatest common factor 73674 and 73680 is 6.

Also check out the Least Common Multiple of 73674 and 73680