What is the Greatest Common Factor of 52670 and 52680?

Greatest common factor (GCF) of 52670 and 52680 is 10.

GCF(52670,52680) = 10

We will now calculate the prime factors of 52670 and 52680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52670 and 52680.

How to find the GCF of 52670 and 52680?

We will first find the prime factorization of 52670 and 52680. After we will calculate the factors of 52670 and 52680 and find the biggest common factor number .

Step-1: Prime Factorization of 52670

Prime factors of 52670 are 2, 5, 23, 229. Prime factorization of 52670 in exponential form is:

52670 = 2¹ × 5¹ × 23¹ × 229¹

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 52670

List of positive integer factors of 52670 that divides 52670 without a remainder.

1, 2, 5, 10, 23, 46, 115, 229, 230, 458, 1145, 2290, 5267, 10534, 26335

Step-4: Factors of 52680

List of positive integer factors of 52680 that divides 52670 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 52670 and 52680. The biggest common factor number is the GCF number.
So the greatest common factor 52670 and 52680 is 10.

Also check out the Least Common Multiple of 52670 and 52680