What is the Greatest Common Factor of 73680 and 73691?

Greatest common factor (GCF) of 73680 and 73691 is 1.

GCF(73680,73691) = 1

We will now calculate the prime factors of 73680 and 73691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73680 and 73691.

How to find the GCF of 73680 and 73691?

We will first find the prime factorization of 73680 and 73691. After we will calculate the factors of 73680 and 73691 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 73691

Prime factors of 73691 are 59, 1249. Prime factorization of 73691 in exponential form is:

73691 = 59¹ × 1249¹

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 73691

List of positive integer factors of 73691 that divides 73680 without a remainder.

1, 59, 1249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73680 and 73691. The biggest common factor number is the GCF number.
So the greatest common factor 73680 and 73691 is 1.

Also check out the Least Common Multiple of 73680 and 73691