What is the Greatest Common Factor of 34228 and 34245?

Greatest common factor (GCF) of 34228 and 34245 is 1.

GCF(34228,34245) = 1

We will now calculate the prime factors of 34228 and 34245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34228 and 34245.

How to find the GCF of 34228 and 34245?

We will first find the prime factorization of 34228 and 34245. After we will calculate the factors of 34228 and 34245 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34245

Prime factors of 34245 are 3, 5, 761. Prime factorization of 34245 in exponential form is:

34245 = 3² × 5¹ × 761¹

Step-3: Factors of 34228

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

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

Step-4: Factors of 34245

List of positive integer factors of 34245 that divides 34228 without a remainder.

1, 3, 5, 9, 15, 45, 761, 2283, 3805, 6849, 11415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34228 and 34245. The biggest common factor number is the GCF number.
So the greatest common factor 34228 and 34245 is 1.

Also check out the Least Common Multiple of 34228 and 34245