What is the Greatest Common Factor of 52717 and 52731?

Greatest common factor (GCF) of 52717 and 52731 is 7.

GCF(52717,52731) = 7

We will now calculate the prime factors of 52717 and 52731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52717 and 52731.

How to find the GCF of 52717 and 52731?

We will first find the prime factorization of 52717 and 52731. After we will calculate the factors of 52717 and 52731 and find the biggest common factor number .

Step-1: Prime Factorization of 52717

Prime factors of 52717 are 7, 17, 443. Prime factorization of 52717 in exponential form is:

52717 = 7¹ × 17¹ × 443¹

Step-2: Prime Factorization of 52731

Prime factors of 52731 are 3, 7, 31. Prime factorization of 52731 in exponential form is:

52731 = 3⁵ × 7¹ × 31¹

Step-3: Factors of 52717

List of positive integer factors of 52717 that divides 52717 without a remainder.

1, 7, 17, 119, 443, 3101, 7531

Step-4: Factors of 52731

List of positive integer factors of 52731 that divides 52717 without a remainder.

1, 3, 7, 9, 21, 27, 31, 63, 81, 93, 189, 217, 243, 279, 567, 651, 837, 1701, 1953, 2511, 5859, 7533, 17577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52717 and 52731. The biggest common factor number is the GCF number.
So the greatest common factor 52717 and 52731 is 7.

Also check out the Least Common Multiple of 52717 and 52731