What is the Greatest Common Factor of 67504 and 67514?

Greatest common factor (GCF) of 67504 and 67514 is 2.

GCF(67504,67514) = 2

We will now calculate the prime factors of 67504 and 67514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67504 and 67514.

How to find the GCF of 67504 and 67514?

We will first find the prime factorization of 67504 and 67514. After we will calculate the factors of 67504 and 67514 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 67514

Prime factors of 67514 are 2, 33757. Prime factorization of 67514 in exponential form is:

67514 = 2¹ × 33757¹

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 67514

List of positive integer factors of 67514 that divides 67504 without a remainder.

1, 2, 33757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67504 and 67514. The biggest common factor number is the GCF number.
So the greatest common factor 67504 and 67514 is 2.

Also check out the Least Common Multiple of 67504 and 67514