What is the Greatest Common Factor of 25270 and 25289?

Greatest common factor (GCF) of 25270 and 25289 is 19.

GCF(25270,25289) = 19

We will now calculate the prime factors of 25270 and 25289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25270 and 25289.

How to find the GCF of 25270 and 25289?

We will first find the prime factorization of 25270 and 25289. After we will calculate the factors of 25270 and 25289 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 25289

Prime factors of 25289 are 11, 19. Prime factorization of 25289 in exponential form is:

25289 = 11³ × 19¹

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 25289

List of positive integer factors of 25289 that divides 25270 without a remainder.

1, 11, 19, 121, 209, 1331, 2299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25270 and 25289. The biggest common factor number is the GCF number.
So the greatest common factor 25270 and 25289 is 19.

Also check out the Least Common Multiple of 25270 and 25289