What is the Greatest Common Factor of 34274 and 34282?

Greatest common factor (GCF) of 34274 and 34282 is 2.

GCF(34274,34282) = 2

We will now calculate the prime factors of 34274 and 34282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34274 and 34282.

How to find the GCF of 34274 and 34282?

We will first find the prime factorization of 34274 and 34282. After we will calculate the factors of 34274 and 34282 and find the biggest common factor number .

Step-1: Prime Factorization of 34274

Prime factors of 34274 are 2, 17137. Prime factorization of 34274 in exponential form is:

34274 = 2¹ × 17137¹

Step-2: Prime Factorization of 34282

Prime factors of 34282 are 2, 61, 281. Prime factorization of 34282 in exponential form is:

34282 = 2¹ × 61¹ × 281¹

Step-3: Factors of 34274

List of positive integer factors of 34274 that divides 34274 without a remainder.

1, 2, 17137

Step-4: Factors of 34282

List of positive integer factors of 34282 that divides 34274 without a remainder.

1, 2, 61, 122, 281, 562, 17141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34274 and 34282. The biggest common factor number is the GCF number.
So the greatest common factor 34274 and 34282 is 2.

Also check out the Least Common Multiple of 34274 and 34282