What is the Greatest Common Factor of 67506 and 67512?

Greatest common factor (GCF) of 67506 and 67512 is 6.

GCF(67506,67512) = 6

We will now calculate the prime factors of 67506 and 67512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67506 and 67512.

How to find the GCF of 67506 and 67512?

We will first find the prime factorization of 67506 and 67512. After we will calculate the factors of 67506 and 67512 and find the biggest common factor number .

Step-1: Prime Factorization of 67506

Prime factors of 67506 are 2, 3, 11251. Prime factorization of 67506 in exponential form is:

67506 = 2¹ × 3¹ × 11251¹

Step-2: Prime Factorization of 67512

Prime factors of 67512 are 2, 3, 29, 97. Prime factorization of 67512 in exponential form is:

67512 = 2³ × 3¹ × 29¹ × 97¹

Step-3: Factors of 67506

List of positive integer factors of 67506 that divides 67506 without a remainder.

1, 2, 3, 6, 11251, 22502, 33753

Step-4: Factors of 67512

List of positive integer factors of 67512 that divides 67506 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 97, 116, 174, 194, 232, 291, 348, 388, 582, 696, 776, 1164, 2328, 2813, 5626, 8439, 11252, 16878, 22504, 33756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67506 and 67512. The biggest common factor number is the GCF number.
So the greatest common factor 67506 and 67512 is 6.

Also check out the Least Common Multiple of 67506 and 67512