What is the Greatest Common Factor of 52680 and 52695?

Greatest common factor (GCF) of 52680 and 52695 is 15.

GCF(52680,52695) = 15

We will now calculate the prime factors of 52680 and 52695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52680 and 52695.

How to find the GCF of 52680 and 52695?

We will first find the prime factorization of 52680 and 52695. After we will calculate the factors of 52680 and 52695 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 52695

Prime factors of 52695 are 3, 5, 1171. Prime factorization of 52695 in exponential form is:

52695 = 3² × 5¹ × 1171¹

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 52695

List of positive integer factors of 52695 that divides 52680 without a remainder.

1, 3, 5, 9, 15, 45, 1171, 3513, 5855, 10539, 17565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52680 and 52695. The biggest common factor number is the GCF number.
So the greatest common factor 52680 and 52695 is 15.

Also check out the Least Common Multiple of 52680 and 52695