What is the Greatest Common Factor of 25000 and 25018?

Greatest common factor (GCF) of 25000 and 25018 is 2.

GCF(25000,25018) = 2

We will now calculate the prime factors of 25000 and 25018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25000 and 25018.

How to find the GCF of 25000 and 25018?

We will first find the prime factorization of 25000 and 25018. After we will calculate the factors of 25000 and 25018 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 25018

Prime factors of 25018 are 2, 7, 1787. Prime factorization of 25018 in exponential form is:

25018 = 2¹ × 7¹ × 1787¹

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 25018

List of positive integer factors of 25018 that divides 25000 without a remainder.

1, 2, 7, 14, 1787, 3574, 12509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25000 and 25018. The biggest common factor number is the GCF number.
So the greatest common factor 25000 and 25018 is 2.

Also check out the Least Common Multiple of 25000 and 25018