What is the Greatest Common Factor of 25314 and 25325?

Greatest common factor (GCF) of 25314 and 25325 is 1.

GCF(25314,25325) = 1

We will now calculate the prime factors of 25314 and 25325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25314 and 25325.

How to find the GCF of 25314 and 25325?

We will first find the prime factorization of 25314 and 25325. After we will calculate the factors of 25314 and 25325 and find the biggest common factor number .

Step-1: Prime Factorization of 25314

Prime factors of 25314 are 2, 3, 4219. Prime factorization of 25314 in exponential form is:

25314 = 2¹ × 3¹ × 4219¹

Step-2: Prime Factorization of 25325

Prime factors of 25325 are 5, 1013. Prime factorization of 25325 in exponential form is:

25325 = 5² × 1013¹

Step-3: Factors of 25314

List of positive integer factors of 25314 that divides 25314 without a remainder.

1, 2, 3, 6, 4219, 8438, 12657

Step-4: Factors of 25325

List of positive integer factors of 25325 that divides 25314 without a remainder.

1, 5, 25, 1013, 5065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25314 and 25325. The biggest common factor number is the GCF number.
So the greatest common factor 25314 and 25325 is 1.

Also check out the Least Common Multiple of 25314 and 25325