What is the Greatest Common Factor of 74322 and 74338?

Greatest common factor (GCF) of 74322 and 74338 is 2.

GCF(74322,74338) = 2

We will now calculate the prime factors of 74322 and 74338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74322 and 74338.

How to find the GCF of 74322 and 74338?

We will first find the prime factorization of 74322 and 74338. After we will calculate the factors of 74322 and 74338 and find the biggest common factor number .

Step-1: Prime Factorization of 74322

Prime factors of 74322 are 2, 3, 4129. Prime factorization of 74322 in exponential form is:

74322 = 2¹ × 3² × 4129¹

Step-2: 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-3: Factors of 74322

List of positive integer factors of 74322 that divides 74322 without a remainder.

1, 2, 3, 6, 9, 18, 4129, 8258, 12387, 24774, 37161

Step-4: Factors of 74338

List of positive integer factors of 74338 that divides 74322 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74322 and 74338. The biggest common factor number is the GCF number.
So the greatest common factor 74322 and 74338 is 2.

Also check out the Least Common Multiple of 74322 and 74338