What is the Greatest Common Factor of 74032 and 74038?

Greatest common factor (GCF) of 74032 and 74038 is 2.

GCF(74032,74038) = 2

We will now calculate the prime factors of 74032 and 74038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74032 and 74038.

How to find the GCF of 74032 and 74038?

We will first find the prime factorization of 74032 and 74038. After we will calculate the factors of 74032 and 74038 and find the biggest common factor number .

Step-1: Prime Factorization of 74032

Prime factors of 74032 are 2, 7, 661. Prime factorization of 74032 in exponential form is:

74032 = 2⁴ × 7¹ × 661¹

Step-2: Prime Factorization of 74038

Prime factors of 74038 are 2, 37019. Prime factorization of 74038 in exponential form is:

74038 = 2¹ × 37019¹

Step-3: Factors of 74032

List of positive integer factors of 74032 that divides 74032 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 661, 1322, 2644, 4627, 5288, 9254, 10576, 18508, 37016

Step-4: Factors of 74038

List of positive integer factors of 74038 that divides 74032 without a remainder.

1, 2, 37019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74032 and 74038. The biggest common factor number is the GCF number.
So the greatest common factor 74032 and 74038 is 2.

Also check out the Least Common Multiple of 74032 and 74038