What is the Greatest Common Factor of 67422 and 67426?

Greatest common factor (GCF) of 67422 and 67426 is 2.

GCF(67422,67426) = 2

We will now calculate the prime factors of 67422 and 67426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67422 and 67426.

How to find the GCF of 67422 and 67426?

We will first find the prime factorization of 67422 and 67426. After we will calculate the factors of 67422 and 67426 and find the biggest common factor number .

Step-1: Prime Factorization of 67422

Prime factors of 67422 are 2, 3, 17, 661. Prime factorization of 67422 in exponential form is:

67422 = 2¹ × 3¹ × 17¹ × 661¹

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 67422

List of positive integer factors of 67422 that divides 67422 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 661, 1322, 1983, 3966, 11237, 22474, 33711

Step-4: Factors of 67426

List of positive integer factors of 67426 that divides 67422 without a remainder.

1, 2, 33713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67422 and 67426. The biggest common factor number is the GCF number.
So the greatest common factor 67422 and 67426 is 2.

Also check out the Least Common Multiple of 67422 and 67426