What is the Greatest Common Factor of 73680 and 73692?

Greatest common factor (GCF) of 73680 and 73692 is 12.

GCF(73680,73692) = 12

We will now calculate the prime factors of 73680 and 73692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73680 and 73692.

How to find the GCF of 73680 and 73692?

We will first find the prime factorization of 73680 and 73692. After we will calculate the factors of 73680 and 73692 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 73692

Prime factors of 73692 are 2, 3, 23, 89. Prime factorization of 73692 in exponential form is:

73692 = 2² × 3² × 23¹ × 89¹

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 73692

List of positive integer factors of 73692 that divides 73680 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 89, 92, 138, 178, 207, 267, 276, 356, 414, 534, 801, 828, 1068, 1602, 2047, 3204, 4094, 6141, 8188, 12282, 18423, 24564, 36846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73680 and 73692. The biggest common factor number is the GCF number.
So the greatest common factor 73680 and 73692 is 12.

Also check out the Least Common Multiple of 73680 and 73692