What is the Greatest Common Factor of 25260 and 25270?

Greatest common factor (GCF) of 25260 and 25270 is 10.

GCF(25260,25270) = 10

We will now calculate the prime factors of 25260 and 25270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25260 and 25270.

How to find the GCF of 25260 and 25270?

We will first find the prime factorization of 25260 and 25270. After we will calculate the factors of 25260 and 25270 and find the biggest common factor number .

Step-1: Prime Factorization of 25260

Prime factors of 25260 are 2, 3, 5, 421. Prime factorization of 25260 in exponential form is:

25260 = 2² × 3¹ × 5¹ × 421¹

Step-2: 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-3: Factors of 25260

List of positive integer factors of 25260 that divides 25260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 421, 842, 1263, 1684, 2105, 2526, 4210, 5052, 6315, 8420, 12630

Step-4: Factors of 25270

List of positive integer factors of 25270 that divides 25260 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25260 and 25270. The biggest common factor number is the GCF number.
So the greatest common factor 25260 and 25270 is 10.

Also check out the Least Common Multiple of 25260 and 25270