What is the Greatest Common Factor of 67514 and 67530?

Greatest common factor (GCF) of 67514 and 67530 is 2.

GCF(67514,67530) = 2

We will now calculate the prime factors of 67514 and 67530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67514 and 67530.

How to find the GCF of 67514 and 67530?

We will first find the prime factorization of 67514 and 67530. After we will calculate the factors of 67514 and 67530 and find the biggest common factor number .

Step-1: Prime Factorization of 67514

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

67514 = 2¹ × 33757¹

Step-2: Prime Factorization of 67530

Prime factors of 67530 are 2, 3, 5, 2251. Prime factorization of 67530 in exponential form is:

67530 = 2¹ × 3¹ × 5¹ × 2251¹

Step-3: Factors of 67514

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

1, 2, 33757

Step-4: Factors of 67530

List of positive integer factors of 67530 that divides 67514 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2251, 4502, 6753, 11255, 13506, 22510, 33765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67514 and 67530. The biggest common factor number is the GCF number.
So the greatest common factor 67514 and 67530 is 2.

Also check out the Least Common Multiple of 67514 and 67530