What is the Greatest Common Factor of 73680 and 73700?

Greatest common factor (GCF) of 73680 and 73700 is 20.

GCF(73680,73700) = 20

We will now calculate the prime factors of 73680 and 73700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73680 and 73700.

How to find the GCF of 73680 and 73700?

We will first find the prime factorization of 73680 and 73700. After we will calculate the factors of 73680 and 73700 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 73700

Prime factors of 73700 are 2, 5, 11, 67. Prime factorization of 73700 in exponential form is:

73700 = 2² × 5² × 11¹ × 67¹

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 73700

List of positive integer factors of 73700 that divides 73680 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 67, 100, 110, 134, 220, 268, 275, 335, 550, 670, 737, 1100, 1340, 1474, 1675, 2948, 3350, 3685, 6700, 7370, 14740, 18425, 36850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73680 and 73700. The biggest common factor number is the GCF number.
So the greatest common factor 73680 and 73700 is 20.

Also check out the Least Common Multiple of 73680 and 73700