What is the Greatest Common Factor of 34269 and 34282?

Greatest common factor (GCF) of 34269 and 34282 is 1.

GCF(34269,34282) = 1

We will now calculate the prime factors of 34269 and 34282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34269 and 34282.

How to find the GCF of 34269 and 34282?

We will first find the prime factorization of 34269 and 34282. After we will calculate the factors of 34269 and 34282 and find the biggest common factor number .

Step-1: Prime Factorization of 34269

Prime factors of 34269 are 3, 11423. Prime factorization of 34269 in exponential form is:

34269 = 3¹ × 11423¹

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 34269

List of positive integer factors of 34269 that divides 34269 without a remainder.

1, 3, 11423

Step-4: Factors of 34282

List of positive integer factors of 34282 that divides 34269 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34269 and 34282. The biggest common factor number is the GCF number.
So the greatest common factor 34269 and 34282 is 1.

Also check out the Least Common Multiple of 34269 and 34282