What is the Greatest Common Factor of 74144 and 74158?

Greatest common factor (GCF) of 74144 and 74158 is 14.

GCF(74144,74158) = 14

We will now calculate the prime factors of 74144 and 74158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74144 and 74158.

How to find the GCF of 74144 and 74158?

We will first find the prime factorization of 74144 and 74158. After we will calculate the factors of 74144 and 74158 and find the biggest common factor number .

Step-1: Prime Factorization of 74144

Prime factors of 74144 are 2, 7, 331. Prime factorization of 74144 in exponential form is:

74144 = 2⁵ × 7¹ × 331¹

Step-2: Prime Factorization of 74158

Prime factors of 74158 are 2, 7, 5297. Prime factorization of 74158 in exponential form is:

74158 = 2¹ × 7¹ × 5297¹

Step-3: Factors of 74144

List of positive integer factors of 74144 that divides 74144 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 331, 662, 1324, 2317, 2648, 4634, 5296, 9268, 10592, 18536, 37072

Step-4: Factors of 74158

List of positive integer factors of 74158 that divides 74144 without a remainder.

1, 2, 7, 14, 5297, 10594, 37079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74144 and 74158. The biggest common factor number is the GCF number.
So the greatest common factor 74144 and 74158 is 14.

Also check out the Least Common Multiple of 74144 and 74158