What is the Greatest Common Factor of 67414 and 67426?

Greatest common factor (GCF) of 67414 and 67426 is 2.

GCF(67414,67426) = 2

We will now calculate the prime factors of 67414 and 67426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67414 and 67426.

How to find the GCF of 67414 and 67426?

We will first find the prime factorization of 67414 and 67426. After we will calculate the factors of 67414 and 67426 and find the biggest common factor number .

Step-1: Prime Factorization of 67414

Prime factors of 67414 are 2, 37, 911. Prime factorization of 67414 in exponential form is:

67414 = 2¹ × 37¹ × 911¹

Step-2: Prime Factorization of 67426

Prime factors of 67426 are 2, 33713. Prime factorization of 67426 in exponential form is:

67426 = 2¹ × 33713¹

Step-3: Factors of 67414

List of positive integer factors of 67414 that divides 67414 without a remainder.

1, 2, 37, 74, 911, 1822, 33707

Step-4: Factors of 67426

List of positive integer factors of 67426 that divides 67414 without a remainder.

1, 2, 33713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67414 and 67426. The biggest common factor number is the GCF number.
So the greatest common factor 67414 and 67426 is 2.

Also check out the Least Common Multiple of 67414 and 67426