What is the Greatest Common Factor of 34354 and 34362?

Greatest common factor (GCF) of 34354 and 34362 is 2.

GCF(34354,34362) = 2

We will now calculate the prime factors of 34354 and 34362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34354 and 34362.

How to find the GCF of 34354 and 34362?

We will first find the prime factorization of 34354 and 34362. After we will calculate the factors of 34354 and 34362 and find the biggest common factor number .

Step-1: Prime Factorization of 34354

Prime factors of 34354 are 2, 89, 193. Prime factorization of 34354 in exponential form is:

34354 = 2¹ × 89¹ × 193¹

Step-2: Prime Factorization of 34362

Prime factors of 34362 are 2, 3, 23, 83. Prime factorization of 34362 in exponential form is:

34362 = 2¹ × 3² × 23¹ × 83¹

Step-3: Factors of 34354

List of positive integer factors of 34354 that divides 34354 without a remainder.

1, 2, 89, 178, 193, 386, 17177

Step-4: Factors of 34362

List of positive integer factors of 34362 that divides 34354 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 83, 138, 166, 207, 249, 414, 498, 747, 1494, 1909, 3818, 5727, 11454, 17181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34354 and 34362. The biggest common factor number is the GCF number.
So the greatest common factor 34354 and 34362 is 2.

Also check out the Least Common Multiple of 34354 and 34362