What is the Greatest Common Factor of 52725 and 52731?

Greatest common factor (GCF) of 52725 and 52731 is 3.

GCF(52725,52731) = 3

We will now calculate the prime factors of 52725 and 52731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52725 and 52731.

How to find the GCF of 52725 and 52731?

We will first find the prime factorization of 52725 and 52731. After we will calculate the factors of 52725 and 52731 and find the biggest common factor number .

Step-1: Prime Factorization of 52725

Prime factors of 52725 are 3, 5, 19, 37. Prime factorization of 52725 in exponential form is:

52725 = 3¹ × 5² × 19¹ × 37¹

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 52725

List of positive integer factors of 52725 that divides 52725 without a remainder.

1, 3, 5, 15, 19, 25, 37, 57, 75, 95, 111, 185, 285, 475, 555, 703, 925, 1425, 2109, 2775, 3515, 10545, 17575

Step-4: Factors of 52731

List of positive integer factors of 52731 that divides 52725 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 52725 and 52731. The biggest common factor number is the GCF number.
So the greatest common factor 52725 and 52731 is 3.

Also check out the Least Common Multiple of 52725 and 52731