What is the Greatest Common Factor of 74008 and 74017?

Greatest common factor (GCF) of 74008 and 74017 is 1.

GCF(74008,74017) = 1

We will now calculate the prime factors of 74008 and 74017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74008 and 74017.

How to find the GCF of 74008 and 74017?

We will first find the prime factorization of 74008 and 74017. After we will calculate the factors of 74008 and 74017 and find the biggest common factor number .

Step-1: Prime Factorization of 74008

Prime factors of 74008 are 2, 11, 29. Prime factorization of 74008 in exponential form is:

74008 = 2³ × 11¹ × 29²

Step-2: Prime Factorization of 74017

Prime factors of 74017 are 74017. Prime factorization of 74017 in exponential form is:

74017 = 74017¹

Step-3: Factors of 74008

List of positive integer factors of 74008 that divides 74008 without a remainder.

1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 841, 1276, 1682, 2552, 3364, 6728, 9251, 18502, 37004

Step-4: Factors of 74017

List of positive integer factors of 74017 that divides 74008 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74008 and 74017. The biggest common factor number is the GCF number.
So the greatest common factor 74008 and 74017 is 1.

Also check out the Least Common Multiple of 74008 and 74017