What is the Greatest Common Factor of 25494 and 25500?

Greatest common factor (GCF) of 25494 and 25500 is 6.

GCF(25494,25500) = 6

We will now calculate the prime factors of 25494 and 25500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25494 and 25500.

How to find the GCF of 25494 and 25500?

We will first find the prime factorization of 25494 and 25500. After we will calculate the factors of 25494 and 25500 and find the biggest common factor number .

Step-1: Prime Factorization of 25494

Prime factors of 25494 are 2, 3, 7, 607. Prime factorization of 25494 in exponential form is:

25494 = 2¹ × 3¹ × 7¹ × 607¹

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 25494

List of positive integer factors of 25494 that divides 25494 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 607, 1214, 1821, 3642, 4249, 8498, 12747

Step-4: Factors of 25500

List of positive integer factors of 25500 that divides 25494 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 25494 and 25500. The biggest common factor number is the GCF number.
So the greatest common factor 25494 and 25500 is 6.

Also check out the Least Common Multiple of 25494 and 25500