What is the Greatest Common Factor of 67530 and 67546?

Greatest common factor (GCF) of 67530 and 67546 is 2.

GCF(67530,67546) = 2

We will now calculate the prime factors of 67530 and 67546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67530 and 67546.

How to find the GCF of 67530 and 67546?

We will first find the prime factorization of 67530 and 67546. After we will calculate the factors of 67530 and 67546 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67546

Prime factors of 67546 are 2, 33773. Prime factorization of 67546 in exponential form is:

67546 = 2¹ × 33773¹

Step-3: Factors of 67530

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

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

Step-4: Factors of 67546

List of positive integer factors of 67546 that divides 67530 without a remainder.

1, 2, 33773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67530 and 67546. The biggest common factor number is the GCF number.
So the greatest common factor 67530 and 67546 is 2.

Also check out the Least Common Multiple of 67530 and 67546