What is the Greatest Common Factor of 34224 and 34228?

Greatest common factor (GCF) of 34224 and 34228 is 4.

GCF(34224,34228) = 4

We will now calculate the prime factors of 34224 and 34228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34224 and 34228.

How to find the GCF of 34224 and 34228?

We will first find the prime factorization of 34224 and 34228. After we will calculate the factors of 34224 and 34228 and find the biggest common factor number .

Step-1: Prime Factorization of 34224

Prime factors of 34224 are 2, 3, 23, 31. Prime factorization of 34224 in exponential form is:

34224 = 2⁴ × 3¹ × 23¹ × 31¹

Step-2: Prime Factorization of 34228

Prime factors of 34228 are 2, 43, 199. Prime factorization of 34228 in exponential form is:

34228 = 2² × 43¹ × 199¹

Step-3: Factors of 34224

List of positive integer factors of 34224 that divides 34224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 31, 46, 48, 62, 69, 92, 93, 124, 138, 184, 186, 248, 276, 368, 372, 496, 552, 713, 744, 1104, 1426, 1488, 2139, 2852, 4278, 5704, 8556, 11408, 17112

Step-4: Factors of 34228

List of positive integer factors of 34228 that divides 34224 without a remainder.

1, 2, 4, 43, 86, 172, 199, 398, 796, 8557, 17114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34224 and 34228. The biggest common factor number is the GCF number.
So the greatest common factor 34224 and 34228 is 4.

Also check out the Least Common Multiple of 34224 and 34228