What is the Greatest Common Factor of 67535 and 67540?

Greatest common factor (GCF) of 67535 and 67540 is 5.

GCF(67535,67540) = 5

We will now calculate the prime factors of 67535 and 67540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67535 and 67540.

How to find the GCF of 67535 and 67540?

We will first find the prime factorization of 67535 and 67540. After we will calculate the factors of 67535 and 67540 and find the biggest common factor number .

Step-1: Prime Factorization of 67535

Prime factors of 67535 are 5, 13, 1039. Prime factorization of 67535 in exponential form is:

67535 = 5¹ × 13¹ × 1039¹

Step-2: Prime Factorization of 67540

Prime factors of 67540 are 2, 5, 11, 307. Prime factorization of 67540 in exponential form is:

67540 = 2² × 5¹ × 11¹ × 307¹

Step-3: Factors of 67535

List of positive integer factors of 67535 that divides 67535 without a remainder.

1, 5, 13, 65, 1039, 5195, 13507

Step-4: Factors of 67540

List of positive integer factors of 67540 that divides 67535 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 307, 614, 1228, 1535, 3070, 3377, 6140, 6754, 13508, 16885, 33770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67535 and 67540. The biggest common factor number is the GCF number.
So the greatest common factor 67535 and 67540 is 5.

Also check out the Least Common Multiple of 67535 and 67540