What is the Greatest Common Factor of 34322 and 34336?

Greatest common factor (GCF) of 34322 and 34336 is 2.

GCF(34322,34336) = 2

We will now calculate the prime factors of 34322 and 34336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34322 and 34336.

How to find the GCF of 34322 and 34336?

We will first find the prime factorization of 34322 and 34336. After we will calculate the factors of 34322 and 34336 and find the biggest common factor number .

Step-1: Prime Factorization of 34322

Prime factors of 34322 are 2, 131. Prime factorization of 34322 in exponential form is:

34322 = 2¹ × 131²

Step-2: Prime Factorization of 34336

Prime factors of 34336 are 2, 29, 37. Prime factorization of 34336 in exponential form is:

34336 = 2⁵ × 29¹ × 37¹

Step-3: Factors of 34322

List of positive integer factors of 34322 that divides 34322 without a remainder.

1, 2, 131, 262, 17161

Step-4: Factors of 34336

List of positive integer factors of 34336 that divides 34322 without a remainder.

1, 2, 4, 8, 16, 29, 32, 37, 58, 74, 116, 148, 232, 296, 464, 592, 928, 1073, 1184, 2146, 4292, 8584, 17168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34322 and 34336. The biggest common factor number is the GCF number.
So the greatest common factor 34322 and 34336 is 2.

Also check out the Least Common Multiple of 34322 and 34336