What is the Greatest Common Factor of 67431 and 67444?

Greatest common factor (GCF) of 67431 and 67444 is 13.

GCF(67431,67444) = 13

We will now calculate the prime factors of 67431 and 67444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67431 and 67444.

How to find the GCF of 67431 and 67444?

We will first find the prime factorization of 67431 and 67444. After we will calculate the factors of 67431 and 67444 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 67444

Prime factors of 67444 are 2, 13, 1297. Prime factorization of 67444 in exponential form is:

67444 = 2² × 13¹ × 1297¹

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 67444

List of positive integer factors of 67444 that divides 67431 without a remainder.

1, 2, 4, 13, 26, 52, 1297, 2594, 5188, 16861, 33722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67431 and 67444. The biggest common factor number is the GCF number.
So the greatest common factor 67431 and 67444 is 13.

Also check out the Least Common Multiple of 67431 and 67444