What is the Greatest Common Factor of 67504 and 67518?

Greatest common factor (GCF) of 67504 and 67518 is 2.

GCF(67504,67518) = 2

We will now calculate the prime factors of 67504 and 67518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67504 and 67518.

How to find the GCF of 67504 and 67518?

We will first find the prime factorization of 67504 and 67518. After we will calculate the factors of 67504 and 67518 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 67518

Prime factors of 67518 are 2, 3, 11, 31. Prime factorization of 67518 in exponential form is:

67518 = 2¹ × 3² × 11² × 31¹

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 67518

List of positive integer factors of 67518 that divides 67504 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 121, 186, 198, 242, 279, 341, 363, 558, 682, 726, 1023, 1089, 2046, 2178, 3069, 3751, 6138, 7502, 11253, 22506, 33759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67504 and 67518. The biggest common factor number is the GCF number.
So the greatest common factor 67504 and 67518 is 2.

Also check out the Least Common Multiple of 67504 and 67518