What is the Greatest Common Factor of 25346 and 25364?

Greatest common factor (GCF) of 25346 and 25364 is 2.

GCF(25346,25364) = 2

We will now calculate the prime factors of 25346 and 25364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25346 and 25364.

How to find the GCF of 25346 and 25364?

We will first find the prime factorization of 25346 and 25364. After we will calculate the factors of 25346 and 25364 and find the biggest common factor number .

Step-1: Prime Factorization of 25346

Prime factors of 25346 are 2, 19, 23, 29. Prime factorization of 25346 in exponential form is:

25346 = 2¹ × 19¹ × 23¹ × 29¹

Step-2: Prime Factorization of 25364

Prime factors of 25364 are 2, 17, 373. Prime factorization of 25364 in exponential form is:

25364 = 2² × 17¹ × 373¹

Step-3: Factors of 25346

List of positive integer factors of 25346 that divides 25346 without a remainder.

1, 2, 19, 23, 29, 38, 46, 58, 437, 551, 667, 874, 1102, 1334, 12673

Step-4: Factors of 25364

List of positive integer factors of 25364 that divides 25346 without a remainder.

1, 2, 4, 17, 34, 68, 373, 746, 1492, 6341, 12682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25346 and 25364. The biggest common factor number is the GCF number.
So the greatest common factor 25346 and 25364 is 2.

Also check out the Least Common Multiple of 25346 and 25364