What is the Greatest Common Factor of 67500 and 67513?

Greatest common factor (GCF) of 67500 and 67513 is 1.

GCF(67500,67513) = 1

We will now calculate the prime factors of 67500 and 67513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67500 and 67513.

How to find the GCF of 67500 and 67513?

We will first find the prime factorization of 67500 and 67513. After we will calculate the factors of 67500 and 67513 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 67513

Prime factors of 67513 are 181, 373. Prime factorization of 67513 in exponential form is:

67513 = 181¹ × 373¹

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 67513

List of positive integer factors of 67513 that divides 67500 without a remainder.

1, 181, 373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67500 and 67513. The biggest common factor number is the GCF number.
So the greatest common factor 67500 and 67513 is 1.

Also check out the Least Common Multiple of 67500 and 67513