What is the Greatest Common Factor of 67500 and 67508?

Greatest common factor (GCF) of 67500 and 67508 is 4.

GCF(67500,67508) = 4

We will now calculate the prime factors of 67500 and 67508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67500 and 67508.

How to find the GCF of 67500 and 67508?

We will first find the prime factorization of 67500 and 67508. After we will calculate the factors of 67500 and 67508 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 67508

Prime factors of 67508 are 2, 7, 2411. Prime factorization of 67508 in exponential form is:

67508 = 2² × 7¹ × 2411¹

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 67508

List of positive integer factors of 67508 that divides 67500 without a remainder.

1, 2, 4, 7, 14, 28, 2411, 4822, 9644, 16877, 33754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67500 and 67508. The biggest common factor number is the GCF number.
So the greatest common factor 67500 and 67508 is 4.

Also check out the Least Common Multiple of 67500 and 67508