What is the Greatest Common Factor of 52670 and 52690?

Greatest common factor (GCF) of 52670 and 52690 is 10.

GCF(52670,52690) = 10

We will now calculate the prime factors of 52670 and 52690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52670 and 52690.

How to find the GCF of 52670 and 52690?

We will first find the prime factorization of 52670 and 52690. After we will calculate the factors of 52670 and 52690 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 52690

Prime factors of 52690 are 2, 5, 11, 479. Prime factorization of 52690 in exponential form is:

52690 = 2¹ × 5¹ × 11¹ × 479¹

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 52690

List of positive integer factors of 52690 that divides 52670 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 479, 958, 2395, 4790, 5269, 10538, 26345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52670 and 52690. The biggest common factor number is the GCF number.
So the greatest common factor 52670 and 52690 is 10.

Also check out the Least Common Multiple of 52670 and 52690