What is the Greatest Common Factor of 74338 and 74348?

Greatest common factor (GCF) of 74338 and 74348 is 2.

GCF(74338,74348) = 2

We will now calculate the prime factors of 74338 and 74348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74338 and 74348.

How to find the GCF of 74338 and 74348?

We will first find the prime factorization of 74338 and 74348. After we will calculate the factors of 74338 and 74348 and find the biggest common factor number .

Step-1: Prime Factorization of 74338

Prime factors of 74338 are 2, 11, 31, 109. Prime factorization of 74338 in exponential form is:

74338 = 2¹ × 11¹ × 31¹ × 109¹

Step-2: Prime Factorization of 74348

Prime factors of 74348 are 2, 18587. Prime factorization of 74348 in exponential form is:

74348 = 2² × 18587¹

Step-3: Factors of 74338

List of positive integer factors of 74338 that divides 74338 without a remainder.

1, 2, 11, 22, 31, 62, 109, 218, 341, 682, 1199, 2398, 3379, 6758, 37169

Step-4: Factors of 74348

List of positive integer factors of 74348 that divides 74338 without a remainder.

1, 2, 4, 18587, 37174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74338 and 74348. The biggest common factor number is the GCF number.
So the greatest common factor 74338 and 74348 is 2.

Also check out the Least Common Multiple of 74338 and 74348