What is the Greatest Common Factor of 25270 and 25286?

Greatest common factor (GCF) of 25270 and 25286 is 2.

GCF(25270,25286) = 2

We will now calculate the prime factors of 25270 and 25286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25270 and 25286.

How to find the GCF of 25270 and 25286?

We will first find the prime factorization of 25270 and 25286. After we will calculate the factors of 25270 and 25286 and find the biggest common factor number .

Step-1: Prime Factorization of 25270

Prime factors of 25270 are 2, 5, 7, 19. Prime factorization of 25270 in exponential form is:

25270 = 2¹ × 5¹ × 7¹ × 19²

Step-2: Prime Factorization of 25286

Prime factors of 25286 are 2, 47, 269. Prime factorization of 25286 in exponential form is:

25286 = 2¹ × 47¹ × 269¹

Step-3: Factors of 25270

List of positive integer factors of 25270 that divides 25270 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 361, 665, 722, 1330, 1805, 2527, 3610, 5054, 12635

Step-4: Factors of 25286

List of positive integer factors of 25286 that divides 25270 without a remainder.

1, 2, 47, 94, 269, 538, 12643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25270 and 25286. The biggest common factor number is the GCF number.
So the greatest common factor 25270 and 25286 is 2.

Also check out the Least Common Multiple of 25270 and 25286