What is the Greatest Common Factor of 45000 and 45011?

Greatest common factor (GCF) of 45000 and 45011 is 1.

GCF(45000,45011) = 1

We will now calculate the prime factors of 45000 and 45011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45000 and 45011.

How to find the GCF of 45000 and 45011?

We will first find the prime factorization of 45000 and 45011. After we will calculate the factors of 45000 and 45011 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 45011

Prime factors of 45011 are 19, 23, 103. Prime factorization of 45011 in exponential form is:

45011 = 19¹ × 23¹ × 103¹

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 45011

List of positive integer factors of 45011 that divides 45000 without a remainder.

1, 19, 23, 103, 437, 1957, 2369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45000 and 45011. The biggest common factor number is the GCF number.
So the greatest common factor 45000 and 45011 is 1.

Also check out the Least Common Multiple of 45000 and 45011