What is the Greatest Common Factor of 67431 and 67449?

Greatest common factor (GCF) of 67431 and 67449 is 3.

GCF(67431,67449) = 3

We will now calculate the prime factors of 67431 and 67449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67431 and 67449.

How to find the GCF of 67431 and 67449?

We will first find the prime factorization of 67431 and 67449. After we will calculate the factors of 67431 and 67449 and find the biggest common factor number .

Step-1: Prime Factorization of 67431

Prime factors of 67431 are 3, 7, 13, 19. Prime factorization of 67431 in exponential form is:

67431 = 3¹ × 7¹ × 13² × 19¹

Step-2: Prime Factorization of 67449

Prime factors of 67449 are 3, 22483. Prime factorization of 67449 in exponential form is:

67449 = 3¹ × 22483¹

Step-3: Factors of 67431

List of positive integer factors of 67431 that divides 67431 without a remainder.

1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 169, 247, 273, 399, 507, 741, 1183, 1729, 3211, 3549, 5187, 9633, 22477

Step-4: Factors of 67449

List of positive integer factors of 67449 that divides 67431 without a remainder.

1, 3, 22483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67431 and 67449. The biggest common factor number is the GCF number.
So the greatest common factor 67431 and 67449 is 3.

Also check out the Least Common Multiple of 67431 and 67449