What is the Greatest Common Factor of 67560 and 67572?

Greatest common factor (GCF) of 67560 and 67572 is 12.

GCF(67560,67572) = 12

We will now calculate the prime factors of 67560 and 67572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67560 and 67572.

How to find the GCF of 67560 and 67572?

We will first find the prime factorization of 67560 and 67572. After we will calculate the factors of 67560 and 67572 and find the biggest common factor number .

Step-1: Prime Factorization of 67560

Prime factors of 67560 are 2, 3, 5, 563. Prime factorization of 67560 in exponential form is:

67560 = 2³ × 3¹ × 5¹ × 563¹

Step-2: Prime Factorization of 67572

Prime factors of 67572 are 2, 3, 1877. Prime factorization of 67572 in exponential form is:

67572 = 2² × 3² × 1877¹

Step-3: Factors of 67560

List of positive integer factors of 67560 that divides 67560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 563, 1126, 1689, 2252, 2815, 3378, 4504, 5630, 6756, 8445, 11260, 13512, 16890, 22520, 33780

Step-4: Factors of 67572

List of positive integer factors of 67572 that divides 67560 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1877, 3754, 5631, 7508, 11262, 16893, 22524, 33786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67560 and 67572. The biggest common factor number is the GCF number.
So the greatest common factor 67560 and 67572 is 12.

Also check out the Least Common Multiple of 67560 and 67572