What is the Greatest Common Factor of 25000 and 25007?

Greatest common factor (GCF) of 25000 and 25007 is 1.

GCF(25000,25007) = 1

We will now calculate the prime factors of 25000 and 25007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25000 and 25007.

How to find the GCF of 25000 and 25007?

We will first find the prime factorization of 25000 and 25007. After we will calculate the factors of 25000 and 25007 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 25007

Prime factors of 25007 are 17, 1471. Prime factorization of 25007 in exponential form is:

25007 = 17¹ × 1471¹

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 25007

List of positive integer factors of 25007 that divides 25000 without a remainder.

1, 17, 1471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25000 and 25007. The biggest common factor number is the GCF number.
So the greatest common factor 25000 and 25007 is 1.

Also check out the Least Common Multiple of 25000 and 25007