What is the Greatest Common Factor of 52731 and 52738?

Greatest common factor (GCF) of 52731 and 52738 is 7.

GCF(52731,52738) = 7

We will now calculate the prime factors of 52731 and 52738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52731 and 52738.

How to find the GCF of 52731 and 52738?

We will first find the prime factorization of 52731 and 52738. After we will calculate the factors of 52731 and 52738 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52738

Prime factors of 52738 are 2, 7, 3767. Prime factorization of 52738 in exponential form is:

52738 = 2¹ × 7¹ × 3767¹

Step-3: Factors of 52731

List of positive integer factors of 52731 that divides 52731 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

Step-4: Factors of 52738

List of positive integer factors of 52738 that divides 52731 without a remainder.

1, 2, 7, 14, 3767, 7534, 26369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52731 and 52738. The biggest common factor number is the GCF number.
So the greatest common factor 52731 and 52738 is 7.

Also check out the Least Common Multiple of 52731 and 52738