What is the Greatest Common Factor of 25490 and 25510?

Greatest common factor (GCF) of 25490 and 25510 is 10.

GCF(25490,25510) = 10

We will now calculate the prime factors of 25490 and 25510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25490 and 25510.

How to find the GCF of 25490 and 25510?

We will first find the prime factorization of 25490 and 25510. After we will calculate the factors of 25490 and 25510 and find the biggest common factor number .

Step-1: Prime Factorization of 25490

Prime factors of 25490 are 2, 5, 2549. Prime factorization of 25490 in exponential form is:

25490 = 2¹ × 5¹ × 2549¹

Step-2: Prime Factorization of 25510

Prime factors of 25510 are 2, 5, 2551. Prime factorization of 25510 in exponential form is:

25510 = 2¹ × 5¹ × 2551¹

Step-3: Factors of 25490

List of positive integer factors of 25490 that divides 25490 without a remainder.

1, 2, 5, 10, 2549, 5098, 12745

Step-4: Factors of 25510

List of positive integer factors of 25510 that divides 25490 without a remainder.

1, 2, 5, 10, 2551, 5102, 12755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25490 and 25510. The biggest common factor number is the GCF number.
So the greatest common factor 25490 and 25510 is 10.

Also check out the Least Common Multiple of 25490 and 25510