What is the Greatest Common Factor of 32228 and 32242?

Greatest common factor (GCF) of 32228 and 32242 is 14.

GCF(32228,32242) = 14

We will now calculate the prime factors of 32228 and 32242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32228 and 32242.

How to find the GCF of 32228 and 32242?

We will first find the prime factorization of 32228 and 32242. After we will calculate the factors of 32228 and 32242 and find the biggest common factor number .

Step-1: Prime Factorization of 32228

Prime factors of 32228 are 2, 7, 1151. Prime factorization of 32228 in exponential form is:

32228 = 2² × 7¹ × 1151¹

Step-2: Prime Factorization of 32242

Prime factors of 32242 are 2, 7, 47. Prime factorization of 32242 in exponential form is:

32242 = 2¹ × 7³ × 47¹

Step-3: Factors of 32228

List of positive integer factors of 32228 that divides 32228 without a remainder.

1, 2, 4, 7, 14, 28, 1151, 2302, 4604, 8057, 16114

Step-4: Factors of 32242

List of positive integer factors of 32242 that divides 32228 without a remainder.

1, 2, 7, 14, 47, 49, 94, 98, 329, 343, 658, 686, 2303, 4606, 16121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32228 and 32242. The biggest common factor number is the GCF number.
So the greatest common factor 32228 and 32242 is 14.

Also check out the Least Common Multiple of 32228 and 32242