What is the Greatest Common Factor of 25270 and 25280?

Greatest common factor (GCF) of 25270 and 25280 is 10.

GCF(25270,25280) = 10

We will now calculate the prime factors of 25270 and 25280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25270 and 25280.

How to find the GCF of 25270 and 25280?

We will first find the prime factorization of 25270 and 25280. After we will calculate the factors of 25270 and 25280 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 25280

Prime factors of 25280 are 2, 5, 79. Prime factorization of 25280 in exponential form is:

25280 = 2⁶ × 5¹ × 79¹

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 25280

List of positive integer factors of 25280 that divides 25270 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 79, 80, 158, 160, 316, 320, 395, 632, 790, 1264, 1580, 2528, 3160, 5056, 6320, 12640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25270 and 25280. The biggest common factor number is the GCF number.
So the greatest common factor 25270 and 25280 is 10.

Also check out the Least Common Multiple of 25270 and 25280