What is the Greatest Common Factor of 25319 and 25337?

Greatest common factor (GCF) of 25319 and 25337 is 1.

GCF(25319,25337) = 1

We will now calculate the prime factors of 25319 and 25337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25319 and 25337.

How to find the GCF of 25319 and 25337?

We will first find the prime factorization of 25319 and 25337. After we will calculate the factors of 25319 and 25337 and find the biggest common factor number .

Step-1: Prime Factorization of 25319

Prime factors of 25319 are 7, 3617. Prime factorization of 25319 in exponential form is:

25319 = 7¹ × 3617¹

Step-2: Prime Factorization of 25337

Prime factors of 25337 are 13, 1949. Prime factorization of 25337 in exponential form is:

25337 = 13¹ × 1949¹

Step-3: Factors of 25319

List of positive integer factors of 25319 that divides 25319 without a remainder.

1, 7, 3617

Step-4: Factors of 25337

List of positive integer factors of 25337 that divides 25319 without a remainder.

1, 13, 1949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25319 and 25337. The biggest common factor number is the GCF number.
So the greatest common factor 25319 and 25337 is 1.

Also check out the Least Common Multiple of 25319 and 25337