What is the Greatest Common Factor of 40500 and 40507?

Greatest common factor (GCF) of 40500 and 40507 is 1.

GCF(40500,40507) = 1

We will now calculate the prime factors of 40500 and 40507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40500 and 40507.

How to find the GCF of 40500 and 40507?

We will first find the prime factorization of 40500 and 40507. After we will calculate the factors of 40500 and 40507 and find the biggest common factor number .

Step-1: Prime Factorization of 40500

Prime factors of 40500 are 2, 3, 5. Prime factorization of 40500 in exponential form is:

40500 = 2² × 3⁴ × 5³

Step-2: Prime Factorization of 40507

Prime factors of 40507 are 40507. Prime factorization of 40507 in exponential form is:

40507 = 40507¹

Step-3: Factors of 40500

List of positive integer factors of 40500 that divides 40500 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 125, 135, 150, 162, 180, 225, 250, 270, 300, 324, 375, 405, 450, 500, 540, 675, 750, 810, 900, 1125, 1350, 1500, 1620, 2025, 2250, 2700, 3375, 4050, 4500, 6750, 8100, 10125, 13500, 20250

Step-4: Factors of 40507

List of positive integer factors of 40507 that divides 40500 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40500 and 40507. The biggest common factor number is the GCF number.
So the greatest common factor 40500 and 40507 is 1.

Also check out the Least Common Multiple of 40500 and 40507