What is the Greatest Common Factor of 67422 and 67439?

Greatest common factor (GCF) of 67422 and 67439 is 17.

GCF(67422,67439) = 17

We will now calculate the prime factors of 67422 and 67439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67422 and 67439.

How to find the GCF of 67422 and 67439?

We will first find the prime factorization of 67422 and 67439. After we will calculate the factors of 67422 and 67439 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 67439

Prime factors of 67439 are 17, 3967. Prime factorization of 67439 in exponential form is:

67439 = 17¹ × 3967¹

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 67439

List of positive integer factors of 67439 that divides 67422 without a remainder.

1, 17, 3967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67422 and 67439. The biggest common factor number is the GCF number.
So the greatest common factor 67422 and 67439 is 17.

Also check out the Least Common Multiple of 67422 and 67439