What is the Greatest Common Factor of 67491 and 67497?

Greatest common factor (GCF) of 67491 and 67497 is 3.

GCF(67491,67497) = 3

We will now calculate the prime factors of 67491 and 67497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67491 and 67497.

How to find the GCF of 67491 and 67497?

We will first find the prime factorization of 67491 and 67497. After we will calculate the factors of 67491 and 67497 and find the biggest common factor number .

Step-1: Prime Factorization of 67491

Prime factors of 67491 are 3, 7499. Prime factorization of 67491 in exponential form is:

67491 = 3² × 7499¹

Step-2: Prime Factorization of 67497

Prime factors of 67497 are 3, 149, 151. Prime factorization of 67497 in exponential form is:

67497 = 3¹ × 149¹ × 151¹

Step-3: Factors of 67491

List of positive integer factors of 67491 that divides 67491 without a remainder.

1, 3, 9, 7499, 22497

Step-4: Factors of 67497

List of positive integer factors of 67497 that divides 67491 without a remainder.

1, 3, 149, 151, 447, 453, 22499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67491 and 67497. The biggest common factor number is the GCF number.
So the greatest common factor 67491 and 67497 is 3.

Also check out the Least Common Multiple of 67491 and 67497