What is the Greatest Common Factor of 73680 and 73697?

Greatest common factor (GCF) of 73680 and 73697 is 1.

GCF(73680,73697) = 1

We will now calculate the prime factors of 73680 and 73697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73680 and 73697.

How to find the GCF of 73680 and 73697?

We will first find the prime factorization of 73680 and 73697. After we will calculate the factors of 73680 and 73697 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 73697

Prime factors of 73697 are 13, 5669. Prime factorization of 73697 in exponential form is:

73697 = 13¹ × 5669¹

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 73697

List of positive integer factors of 73697 that divides 73680 without a remainder.

1, 13, 5669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73680 and 73697. The biggest common factor number is the GCF number.
So the greatest common factor 73680 and 73697 is 1.

Also check out the Least Common Multiple of 73680 and 73697