What is the Greatest Common Factor of 73540 and 73560?

Greatest common factor (GCF) of 73540 and 73560 is 20.

GCF(73540,73560) = 20

We will now calculate the prime factors of 73540 and 73560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73540 and 73560.

How to find the GCF of 73540 and 73560?

We will first find the prime factorization of 73540 and 73560. After we will calculate the factors of 73540 and 73560 and find the biggest common factor number .

Step-1: Prime Factorization of 73540

Prime factors of 73540 are 2, 5, 3677. Prime factorization of 73540 in exponential form is:

73540 = 2² × 5¹ × 3677¹

Step-2: Prime Factorization of 73560

Prime factors of 73560 are 2, 3, 5, 613. Prime factorization of 73560 in exponential form is:

73560 = 2³ × 3¹ × 5¹ × 613¹

Step-3: Factors of 73540

List of positive integer factors of 73540 that divides 73540 without a remainder.

1, 2, 4, 5, 10, 20, 3677, 7354, 14708, 18385, 36770

Step-4: Factors of 73560

List of positive integer factors of 73560 that divides 73540 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 613, 1226, 1839, 2452, 3065, 3678, 4904, 6130, 7356, 9195, 12260, 14712, 18390, 24520, 36780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73540 and 73560. The biggest common factor number is the GCF number.
So the greatest common factor 73540 and 73560 is 20.

Also check out the Least Common Multiple of 73540 and 73560