What is the Greatest Common Factor of 25725 and 25731?

Greatest common factor (GCF) of 25725 and 25731 is 3.

GCF(25725,25731) = 3

We will now calculate the prime factors of 25725 and 25731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25725 and 25731.

How to find the GCF of 25725 and 25731?

We will first find the prime factorization of 25725 and 25731. After we will calculate the factors of 25725 and 25731 and find the biggest common factor number .

Step-1: Prime Factorization of 25725

Prime factors of 25725 are 3, 5, 7. Prime factorization of 25725 in exponential form is:

25725 = 3¹ × 5² × 7³

Step-2: Prime Factorization of 25731

Prime factors of 25731 are 3, 953. Prime factorization of 25731 in exponential form is:

25731 = 3³ × 953¹

Step-3: Factors of 25725

List of positive integer factors of 25725 that divides 25725 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 343, 525, 735, 1029, 1225, 1715, 3675, 5145, 8575

Step-4: Factors of 25731

List of positive integer factors of 25731 that divides 25725 without a remainder.

1, 3, 9, 27, 953, 2859, 8577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25725 and 25731. The biggest common factor number is the GCF number.
So the greatest common factor 25725 and 25731 is 3.

Also check out the Least Common Multiple of 25725 and 25731