What is the Greatest Common Factor of 74008 and 74019?

Greatest common factor (GCF) of 74008 and 74019 is 11.

GCF(74008,74019) = 11

We will now calculate the prime factors of 74008 and 74019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74008 and 74019.

How to find the GCF of 74008 and 74019?

We will first find the prime factorization of 74008 and 74019. After we will calculate the factors of 74008 and 74019 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 74019

Prime factors of 74019 are 3, 11, 2243. Prime factorization of 74019 in exponential form is:

74019 = 3¹ × 11¹ × 2243¹

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 74019

List of positive integer factors of 74019 that divides 74008 without a remainder.

1, 3, 11, 33, 2243, 6729, 24673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74008 and 74019. The biggest common factor number is the GCF number.
So the greatest common factor 74008 and 74019 is 11.

Also check out the Least Common Multiple of 74008 and 74019