What is the Greatest Common Factor of 67418 and 67432?

Greatest common factor (GCF) of 67418 and 67432 is 2.

GCF(67418,67432) = 2

We will now calculate the prime factors of 67418 and 67432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67418 and 67432.

How to find the GCF of 67418 and 67432?

We will first find the prime factorization of 67418 and 67432. After we will calculate the factors of 67418 and 67432 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 67432

Prime factors of 67432 are 2, 8429. Prime factorization of 67432 in exponential form is:

67432 = 2³ × 8429¹

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 67432

List of positive integer factors of 67432 that divides 67418 without a remainder.

1, 2, 4, 8, 8429, 16858, 33716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67418 and 67432. The biggest common factor number is the GCF number.
So the greatest common factor 67418 and 67432 is 2.

Also check out the Least Common Multiple of 67418 and 67432