What is the Greatest Common Factor of 25258 and 25270?

Greatest common factor (GCF) of 25258 and 25270 is 2.

GCF(25258,25270) = 2

We will now calculate the prime factors of 25258 and 25270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25258 and 25270.

How to find the GCF of 25258 and 25270?

We will first find the prime factorization of 25258 and 25270. After we will calculate the factors of 25258 and 25270 and find the biggest common factor number .

Step-1: Prime Factorization of 25258

Prime factors of 25258 are 2, 73, 173. Prime factorization of 25258 in exponential form is:

25258 = 2¹ × 73¹ × 173¹

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 25258

List of positive integer factors of 25258 that divides 25258 without a remainder.

1, 2, 73, 146, 173, 346, 12629

Step-4: Factors of 25270

List of positive integer factors of 25270 that divides 25258 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 25258 and 25270. The biggest common factor number is the GCF number.
So the greatest common factor 25258 and 25270 is 2.

Also check out the Least Common Multiple of 25258 and 25270