What is the Greatest Common Factor of 25490 and 25500?

Greatest common factor (GCF) of 25490 and 25500 is 10.

GCF(25490,25500) = 10

We will now calculate the prime factors of 25490 and 25500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25490 and 25500.

How to find the GCF of 25490 and 25500?

We will first find the prime factorization of 25490 and 25500. After we will calculate the factors of 25490 and 25500 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 25500

Prime factors of 25500 are 2, 3, 5, 17. Prime factorization of 25500 in exponential form is:

25500 = 2² × 3¹ × 5³ × 17¹

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 25500

List of positive integer factors of 25500 that divides 25490 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 125, 150, 170, 204, 250, 255, 300, 340, 375, 425, 500, 510, 750, 850, 1020, 1275, 1500, 1700, 2125, 2550, 4250, 5100, 6375, 8500, 12750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25490 and 25500. The biggest common factor number is the GCF number.
So the greatest common factor 25490 and 25500 is 10.

Also check out the Least Common Multiple of 25490 and 25500