What is the Greatest Common Factor of 74228 and 74238?

Greatest common factor (GCF) of 74228 and 74238 is 2.

GCF(74228,74238) = 2

We will now calculate the prime factors of 74228 and 74238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74228 and 74238.

How to find the GCF of 74228 and 74238?

We will first find the prime factorization of 74228 and 74238. After we will calculate the factors of 74228 and 74238 and find the biggest common factor number .

Step-1: Prime Factorization of 74228

Prime factors of 74228 are 2, 7, 11, 241. Prime factorization of 74228 in exponential form is:

74228 = 2² × 7¹ × 11¹ × 241¹

Step-2: Prime Factorization of 74238

Prime factors of 74238 are 2, 3, 12373. Prime factorization of 74238 in exponential form is:

74238 = 2¹ × 3¹ × 12373¹

Step-3: Factors of 74228

List of positive integer factors of 74228 that divides 74228 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 241, 308, 482, 964, 1687, 2651, 3374, 5302, 6748, 10604, 18557, 37114

Step-4: Factors of 74238

List of positive integer factors of 74238 that divides 74228 without a remainder.

1, 2, 3, 6, 12373, 24746, 37119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74228 and 74238. The biggest common factor number is the GCF number.
So the greatest common factor 74228 and 74238 is 2.

Also check out the Least Common Multiple of 74228 and 74238