What is the Greatest Common Factor of 25000 and 25004?

Greatest common factor (GCF) of 25000 and 25004 is 4.

GCF(25000,25004) = 4

We will now calculate the prime factors of 25000 and 25004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25000 and 25004.

How to find the GCF of 25000 and 25004?

We will first find the prime factorization of 25000 and 25004. After we will calculate the factors of 25000 and 25004 and find the biggest common factor number .

Step-1: Prime Factorization of 25000

Prime factors of 25000 are 2, 5. Prime factorization of 25000 in exponential form is:

25000 = 2³ × 5⁵

Step-2: Prime Factorization of 25004

Prime factors of 25004 are 2, 7, 19, 47. Prime factorization of 25004 in exponential form is:

25004 = 2² × 7¹ × 19¹ × 47¹

Step-3: Factors of 25000

List of positive integer factors of 25000 that divides 25000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 3125, 5000, 6250, 12500

Step-4: Factors of 25004

List of positive integer factors of 25004 that divides 25000 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 47, 76, 94, 133, 188, 266, 329, 532, 658, 893, 1316, 1786, 3572, 6251, 12502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25000 and 25004. The biggest common factor number is the GCF number.
So the greatest common factor 25000 and 25004 is 4.

Also check out the Least Common Multiple of 25000 and 25004