What is the Greatest Common Factor of 73668 and 73680?

Greatest common factor (GCF) of 73668 and 73680 is 12.

GCF(73668,73680) = 12

We will now calculate the prime factors of 73668 and 73680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73668 and 73680.

How to find the GCF of 73668 and 73680?

We will first find the prime factorization of 73668 and 73680. After we will calculate the factors of 73668 and 73680 and find the biggest common factor number .

Step-1: Prime Factorization of 73668

Prime factors of 73668 are 2, 3, 7, 877. Prime factorization of 73668 in exponential form is:

73668 = 2² × 3¹ × 7¹ × 877¹

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 73668

List of positive integer factors of 73668 that divides 73668 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 877, 1754, 2631, 3508, 5262, 6139, 10524, 12278, 18417, 24556, 36834

Step-4: Factors of 73680

List of positive integer factors of 73680 that divides 73668 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 73668 and 73680. The biggest common factor number is the GCF number.
So the greatest common factor 73668 and 73680 is 12.

Also check out the Least Common Multiple of 73668 and 73680