What is the Greatest Common Factor of 52719 and 52725?

Greatest common factor (GCF) of 52719 and 52725 is 3.

GCF(52719,52725) = 3

We will now calculate the prime factors of 52719 and 52725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52719 and 52725.

How to find the GCF of 52719 and 52725?

We will first find the prime factorization of 52719 and 52725. After we will calculate the factors of 52719 and 52725 and find the biggest common factor number .

Step-1: Prime Factorization of 52719

Prime factors of 52719 are 3, 17573. Prime factorization of 52719 in exponential form is:

52719 = 3¹ × 17573¹

Step-2: 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-3: Factors of 52719

List of positive integer factors of 52719 that divides 52719 without a remainder.

1, 3, 17573

Step-4: Factors of 52725

List of positive integer factors of 52725 that divides 52719 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52719 and 52725. The biggest common factor number is the GCF number.
So the greatest common factor 52719 and 52725 is 3.

Also check out the Least Common Multiple of 52719 and 52725