What is the Greatest Common Factor of 73560 and 73572?

Greatest common factor (GCF) of 73560 and 73572 is 12.

GCF(73560,73572) = 12

We will now calculate the prime factors of 73560 and 73572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73560 and 73572.

How to find the GCF of 73560 and 73572?

We will first find the prime factorization of 73560 and 73572. After we will calculate the factors of 73560 and 73572 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73572

Prime factors of 73572 are 2, 3, 6131. Prime factorization of 73572 in exponential form is:

73572 = 2² × 3¹ × 6131¹

Step-3: Factors of 73560

List of positive integer factors of 73560 that divides 73560 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

Step-4: Factors of 73572

List of positive integer factors of 73572 that divides 73560 without a remainder.

1, 2, 3, 4, 6, 12, 6131, 12262, 18393, 24524, 36786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73560 and 73572. The biggest common factor number is the GCF number.
So the greatest common factor 73560 and 73572 is 12.

Also check out the Least Common Multiple of 73560 and 73572