What is the Greatest Common Factor of 74338 and 74354?

Greatest common factor (GCF) of 74338 and 74354 is 2.

GCF(74338,74354) = 2

We will now calculate the prime factors of 74338 and 74354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74338 and 74354.

How to find the GCF of 74338 and 74354?

We will first find the prime factorization of 74338 and 74354. After we will calculate the factors of 74338 and 74354 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 74354

Prime factors of 74354 are 2, 7, 47, 113. Prime factorization of 74354 in exponential form is:

74354 = 2¹ × 7¹ × 47¹ × 113¹

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 74354

List of positive integer factors of 74354 that divides 74338 without a remainder.

1, 2, 7, 14, 47, 94, 113, 226, 329, 658, 791, 1582, 5311, 10622, 37177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74338 and 74354. The biggest common factor number is the GCF number.
So the greatest common factor 74338 and 74354 is 2.

Also check out the Least Common Multiple of 74338 and 74354