What is the Greatest Common Factor of 67500 and 67517?

Greatest common factor (GCF) of 67500 and 67517 is 1.

GCF(67500,67517) = 1

We will now calculate the prime factors of 67500 and 67517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67500 and 67517.

How to find the GCF of 67500 and 67517?

We will first find the prime factorization of 67500 and 67517. After we will calculate the factors of 67500 and 67517 and find the biggest common factor number .

Step-1: Prime Factorization of 67500

Prime factors of 67500 are 2, 3, 5. Prime factorization of 67500 in exponential form is:

67500 = 2² × 3³ × 5⁴

Step-2: Prime Factorization of 67517

Prime factors of 67517 are 107, 631. Prime factorization of 67517 in exponential form is:

67517 = 107¹ × 631¹

Step-3: Factors of 67500

List of positive integer factors of 67500 that divides 67500 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 125, 135, 150, 180, 225, 250, 270, 300, 375, 450, 500, 540, 625, 675, 750, 900, 1125, 1250, 1350, 1500, 1875, 2250, 2500, 2700, 3375, 3750, 4500, 5625, 6750, 7500, 11250, 13500, 16875, 22500, 33750

Step-4: Factors of 67517

List of positive integer factors of 67517 that divides 67500 without a remainder.

1, 107, 631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67500 and 67517. The biggest common factor number is the GCF number.
So the greatest common factor 67500 and 67517 is 1.

Also check out the Least Common Multiple of 67500 and 67517