What is the Greatest Common Factor of 67418 and 67431?

Greatest common factor (GCF) of 67418 and 67431 is 13.

GCF(67418,67431) = 13

We will now calculate the prime factors of 67418 and 67431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67418 and 67431.

How to find the GCF of 67418 and 67431?

We will first find the prime factorization of 67418 and 67431. After we will calculate the factors of 67418 and 67431 and find the biggest common factor number .

Step-1: Prime Factorization of 67418

Prime factors of 67418 are 2, 13, 2593. Prime factorization of 67418 in exponential form is:

67418 = 2¹ × 13¹ × 2593¹

Step-2: 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-3: Factors of 67418

List of positive integer factors of 67418 that divides 67418 without a remainder.

1, 2, 13, 26, 2593, 5186, 33709

Step-4: Factors of 67431

List of positive integer factors of 67431 that divides 67418 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67418 and 67431. The biggest common factor number is the GCF number.
So the greatest common factor 67418 and 67431 is 13.

Also check out the Least Common Multiple of 67418 and 67431