What is the Greatest Common Factor of 74228 and 74242?

Greatest common factor (GCF) of 74228 and 74242 is 14.

GCF(74228,74242) = 14

We will now calculate the prime factors of 74228 and 74242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74228 and 74242.

How to find the GCF of 74228 and 74242?

We will first find the prime factorization of 74228 and 74242. After we will calculate the factors of 74228 and 74242 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 74242

Prime factors of 74242 are 2, 7, 5303. Prime factorization of 74242 in exponential form is:

74242 = 2¹ × 7¹ × 5303¹

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 74242

List of positive integer factors of 74242 that divides 74228 without a remainder.

1, 2, 7, 14, 5303, 10606, 37121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74228 and 74242. The biggest common factor number is the GCF number.
So the greatest common factor 74228 and 74242 is 14.

Also check out the Least Common Multiple of 74228 and 74242