What is the Greatest Common Factor of 25308 and 25319?

Greatest common factor (GCF) of 25308 and 25319 is 1.

GCF(25308,25319) = 1

We will now calculate the prime factors of 25308 and 25319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25308 and 25319.

How to find the GCF of 25308 and 25319?

We will first find the prime factorization of 25308 and 25319. After we will calculate the factors of 25308 and 25319 and find the biggest common factor number .

Step-1: Prime Factorization of 25308

Prime factors of 25308 are 2, 3, 19, 37. Prime factorization of 25308 in exponential form is:

25308 = 2² × 3² × 19¹ × 37¹

Step-2: Prime Factorization of 25319

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

25319 = 7¹ × 3617¹

Step-3: Factors of 25308

List of positive integer factors of 25308 that divides 25308 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 37, 38, 57, 74, 76, 111, 114, 148, 171, 222, 228, 333, 342, 444, 666, 684, 703, 1332, 1406, 2109, 2812, 4218, 6327, 8436, 12654

Step-4: Factors of 25319

List of positive integer factors of 25319 that divides 25308 without a remainder.

1, 7, 3617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25308 and 25319. The biggest common factor number is the GCF number.
So the greatest common factor 25308 and 25319 is 1.

Also check out the Least Common Multiple of 25308 and 25319