What is the Greatest Common Factor of 45000 and 45017?

Greatest common factor (GCF) of 45000 and 45017 is 1.

GCF(45000,45017) = 1

We will now calculate the prime factors of 45000 and 45017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45000 and 45017.

How to find the GCF of 45000 and 45017?

We will first find the prime factorization of 45000 and 45017. After we will calculate the factors of 45000 and 45017 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 45017

Prime factors of 45017 are 7, 59, 109. Prime factorization of 45017 in exponential form is:

45017 = 7¹ × 59¹ × 109¹

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 45017

List of positive integer factors of 45017 that divides 45000 without a remainder.

1, 7, 59, 109, 413, 763, 6431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45000 and 45017. The biggest common factor number is the GCF number.
So the greatest common factor 45000 and 45017 is 1.

Also check out the Least Common Multiple of 45000 and 45017