What is the Greatest Common Factor of 52690 and 52700?

Greatest common factor (GCF) of 52690 and 52700 is 10.

GCF(52690,52700) = 10

We will now calculate the prime factors of 52690 and 52700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52690 and 52700.

How to find the GCF of 52690 and 52700?

We will first find the prime factorization of 52690 and 52700. After we will calculate the factors of 52690 and 52700 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52700

Prime factors of 52700 are 2, 5, 17, 31. Prime factorization of 52700 in exponential form is:

52700 = 2² × 5² × 17¹ × 31¹

Step-3: Factors of 52690

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

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

Step-4: Factors of 52700

List of positive integer factors of 52700 that divides 52690 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 31, 34, 50, 62, 68, 85, 100, 124, 155, 170, 310, 340, 425, 527, 620, 775, 850, 1054, 1550, 1700, 2108, 2635, 3100, 5270, 10540, 13175, 26350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52690 and 52700. The biggest common factor number is the GCF number.
So the greatest common factor 52690 and 52700 is 10.

Also check out the Least Common Multiple of 52690 and 52700