What is the Greatest Common Factor of 52675 and 52680?

Greatest common factor (GCF) of 52675 and 52680 is 5.

GCF(52675,52680) = 5

We will now calculate the prime factors of 52675 and 52680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52675 and 52680.

How to find the GCF of 52675 and 52680?

We will first find the prime factorization of 52675 and 52680. After we will calculate the factors of 52675 and 52680 and find the biggest common factor number .

Step-1: Prime Factorization of 52675

Prime factors of 52675 are 5, 7, 43. Prime factorization of 52675 in exponential form is:

52675 = 5² × 7² × 43¹

Step-2: 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-3: Factors of 52675

List of positive integer factors of 52675 that divides 52675 without a remainder.

1, 5, 7, 25, 35, 43, 49, 175, 215, 245, 301, 1075, 1225, 1505, 2107, 7525, 10535

Step-4: Factors of 52680

List of positive integer factors of 52680 that divides 52675 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52675 and 52680. The biggest common factor number is the GCF number.
So the greatest common factor 52675 and 52680 is 5.

Also check out the Least Common Multiple of 52675 and 52680