What is the Greatest Common Factor of 67504 and 67512?

Greatest common factor (GCF) of 67504 and 67512 is 8.

GCF(67504,67512) = 8

We will now calculate the prime factors of 67504 and 67512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67504 and 67512.

How to find the GCF of 67504 and 67512?

We will first find the prime factorization of 67504 and 67512. After we will calculate the factors of 67504 and 67512 and find the biggest common factor number .

Step-1: Prime Factorization of 67504

Prime factors of 67504 are 2, 4219. Prime factorization of 67504 in exponential form is:

67504 = 2⁴ × 4219¹

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 67504

List of positive integer factors of 67504 that divides 67504 without a remainder.

1, 2, 4, 8, 16, 4219, 8438, 16876, 33752

Step-4: Factors of 67512

List of positive integer factors of 67512 that divides 67504 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 67504 and 67512. The biggest common factor number is the GCF number.
So the greatest common factor 67504 and 67512 is 8.

Also check out the Least Common Multiple of 67504 and 67512