What is the Greatest Common Factor of 45000 and 45004?

Greatest common factor (GCF) of 45000 and 45004 is 4.

GCF(45000,45004) = 4

We will now calculate the prime factors of 45000 and 45004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45000 and 45004.

How to find the GCF of 45000 and 45004?

We will first find the prime factorization of 45000 and 45004. After we will calculate the factors of 45000 and 45004 and find the biggest common factor number .

Step-1: Prime Factorization of 45000

Prime factors of 45000 are 2, 3, 5. Prime factorization of 45000 in exponential form is:

45000 = 2³ × 3² × 5⁴

Step-2: Prime Factorization of 45004

Prime factors of 45004 are 2, 11251. Prime factorization of 45004 in exponential form is:

45004 = 2² × 11251¹

Step-3: Factors of 45000

List of positive integer factors of 45000 that divides 45000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 625, 750, 900, 1000, 1125, 1250, 1500, 1800, 1875, 2250, 2500, 3000, 3750, 4500, 5000, 5625, 7500, 9000, 11250, 15000, 22500

Step-4: Factors of 45004

List of positive integer factors of 45004 that divides 45000 without a remainder.

1, 2, 4, 11251, 22502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45000 and 45004. The biggest common factor number is the GCF number.
So the greatest common factor 45000 and 45004 is 4.

Also check out the Least Common Multiple of 45000 and 45004