What is the Greatest Common Factor of 73680 and 73688?

Greatest common factor (GCF) of 73680 and 73688 is 8.

GCF(73680,73688) = 8

We will now calculate the prime factors of 73680 and 73688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73680 and 73688.

How to find the GCF of 73680 and 73688?

We will first find the prime factorization of 73680 and 73688. After we will calculate the factors of 73680 and 73688 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73688

Prime factors of 73688 are 2, 61, 151. Prime factorization of 73688 in exponential form is:

73688 = 2³ × 61¹ × 151¹

Step-3: Factors of 73680

List of positive integer factors of 73680 that divides 73680 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

Step-4: Factors of 73688

List of positive integer factors of 73688 that divides 73680 without a remainder.

1, 2, 4, 8, 61, 122, 151, 244, 302, 488, 604, 1208, 9211, 18422, 36844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73680 and 73688. The biggest common factor number is the GCF number.
So the greatest common factor 73680 and 73688 is 8.

Also check out the Least Common Multiple of 73680 and 73688