What is the Greatest Common Factor of 52680 and 52692?

Greatest common factor (GCF) of 52680 and 52692 is 12.

GCF(52680,52692) = 12

We will now calculate the prime factors of 52680 and 52692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52680 and 52692.

How to find the GCF of 52680 and 52692?

We will first find the prime factorization of 52680 and 52692. After we will calculate the factors of 52680 and 52692 and find the biggest common factor number .

Step-1: Prime Factorization of 52680

Prime factors of 52680 are 2, 3, 5, 439. Prime factorization of 52680 in exponential form is:

52680 = 2³ × 3¹ × 5¹ × 439¹

Step-2: Prime Factorization of 52692

Prime factors of 52692 are 2, 3, 4391. Prime factorization of 52692 in exponential form is:

52692 = 2² × 3¹ × 4391¹

Step-3: Factors of 52680

List of positive integer factors of 52680 that divides 52680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 439, 878, 1317, 1756, 2195, 2634, 3512, 4390, 5268, 6585, 8780, 10536, 13170, 17560, 26340

Step-4: Factors of 52692

List of positive integer factors of 52692 that divides 52680 without a remainder.

1, 2, 3, 4, 6, 12, 4391, 8782, 13173, 17564, 26346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52680 and 52692. The biggest common factor number is the GCF number.
So the greatest common factor 52680 and 52692 is 12.

Also check out the Least Common Multiple of 52680 and 52692