What is the Greatest Common Factor of 25190 and 25210?

Greatest common factor (GCF) of 25190 and 25210 is 10.

GCF(25190,25210) = 10

We will now calculate the prime factors of 25190 and 25210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25190 and 25210.

How to find the GCF of 25190 and 25210?

We will first find the prime factorization of 25190 and 25210. After we will calculate the factors of 25190 and 25210 and find the biggest common factor number .

Step-1: Prime Factorization of 25190

Prime factors of 25190 are 2, 5, 11, 229. Prime factorization of 25190 in exponential form is:

25190 = 2¹ × 5¹ × 11¹ × 229¹

Step-2: Prime Factorization of 25210

Prime factors of 25210 are 2, 5, 2521. Prime factorization of 25210 in exponential form is:

25210 = 2¹ × 5¹ × 2521¹

Step-3: Factors of 25190

List of positive integer factors of 25190 that divides 25190 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 229, 458, 1145, 2290, 2519, 5038, 12595

Step-4: Factors of 25210

List of positive integer factors of 25210 that divides 25190 without a remainder.

1, 2, 5, 10, 2521, 5042, 12605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25190 and 25210. The biggest common factor number is the GCF number.
So the greatest common factor 25190 and 25210 is 10.

Also check out the Least Common Multiple of 25190 and 25210