What is the Greatest Common Factor of 67431 and 67437?

Greatest common factor (GCF) of 67431 and 67437 is 3.

GCF(67431,67437) = 3

We will now calculate the prime factors of 67431 and 67437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67431 and 67437.

How to find the GCF of 67431 and 67437?

We will first find the prime factorization of 67431 and 67437. After we will calculate the factors of 67431 and 67437 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 67437

Prime factors of 67437 are 3, 59, 127. Prime factorization of 67437 in exponential form is:

67437 = 3² × 59¹ × 127¹

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 67437

List of positive integer factors of 67437 that divides 67431 without a remainder.

1, 3, 9, 59, 127, 177, 381, 531, 1143, 7493, 22479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67431 and 67437. The biggest common factor number is the GCF number.
So the greatest common factor 67431 and 67437 is 3.

Also check out the Least Common Multiple of 67431 and 67437