What is the Greatest Common Factor of 34358 and 34362?

Greatest common factor (GCF) of 34358 and 34362 is 2.

GCF(34358,34362) = 2

We will now calculate the prime factors of 34358 and 34362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34358 and 34362.

How to find the GCF of 34358 and 34362?

We will first find the prime factorization of 34358 and 34362. After we will calculate the factors of 34358 and 34362 and find the biggest common factor number .

Step-1: Prime Factorization of 34358

Prime factors of 34358 are 2, 41, 419. Prime factorization of 34358 in exponential form is:

34358 = 2¹ × 41¹ × 419¹

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 34358

List of positive integer factors of 34358 that divides 34358 without a remainder.

1, 2, 41, 82, 419, 838, 17179

Step-4: Factors of 34362

List of positive integer factors of 34362 that divides 34358 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 34358 and 34362. The biggest common factor number is the GCF number.
So the greatest common factor 34358 and 34362 is 2.

Also check out the Least Common Multiple of 34358 and 34362