What is the Greatest Common Factor of 25000 and 25012?

Greatest common factor (GCF) of 25000 and 25012 is 4.

GCF(25000,25012) = 4

We will now calculate the prime factors of 25000 and 25012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25000 and 25012.

How to find the GCF of 25000 and 25012?

We will first find the prime factorization of 25000 and 25012. After we will calculate the factors of 25000 and 25012 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 25012

Prime factors of 25012 are 2, 13, 37. Prime factorization of 25012 in exponential form is:

25012 = 2² × 13² × 37¹

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 25012

List of positive integer factors of 25012 that divides 25000 without a remainder.

1, 2, 4, 13, 26, 37, 52, 74, 148, 169, 338, 481, 676, 962, 1924, 6253, 12506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25000 and 25012. The biggest common factor number is the GCF number.
So the greatest common factor 25000 and 25012 is 4.

Also check out the Least Common Multiple of 25000 and 25012