What is the Greatest Common Factor of 52725 and 52743?

Greatest common factor (GCF) of 52725 and 52743 is 3.

GCF(52725,52743) = 3

We will now calculate the prime factors of 52725 and 52743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52725 and 52743.

How to find the GCF of 52725 and 52743?

We will first find the prime factorization of 52725 and 52743. After we will calculate the factors of 52725 and 52743 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 52743

Prime factors of 52743 are 3, 17581. Prime factorization of 52743 in exponential form is:

52743 = 3¹ × 17581¹

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 52743

List of positive integer factors of 52743 that divides 52725 without a remainder.

1, 3, 17581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52725 and 52743. The biggest common factor number is the GCF number.
So the greatest common factor 52725 and 52743 is 3.

Also check out the Least Common Multiple of 52725 and 52743