What is the Greatest Common Factor of 25314 and 25321?

Greatest common factor (GCF) of 25314 and 25321 is 1.

GCF(25314,25321) = 1

We will now calculate the prime factors of 25314 and 25321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25314 and 25321.

How to find the GCF of 25314 and 25321?

We will first find the prime factorization of 25314 and 25321. After we will calculate the factors of 25314 and 25321 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 25321

Prime factors of 25321 are 25321. Prime factorization of 25321 in exponential form is:

25321 = 25321¹

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 25321

List of positive integer factors of 25321 that divides 25314 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25314 and 25321. The biggest common factor number is the GCF number.
So the greatest common factor 25314 and 25321 is 1.

Also check out the Least Common Multiple of 25314 and 25321