What is the Greatest Common Factor of 34258 and 34278?

Greatest common factor (GCF) of 34258 and 34278 is 2.

GCF(34258,34278) = 2

We will now calculate the prime factors of 34258 and 34278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34258 and 34278.

How to find the GCF of 34258 and 34278?

We will first find the prime factorization of 34258 and 34278. After we will calculate the factors of 34258 and 34278 and find the biggest common factor number .

Step-1: Prime Factorization of 34258

Prime factors of 34258 are 2, 7, 2447. Prime factorization of 34258 in exponential form is:

34258 = 2¹ × 7¹ × 2447¹

Step-2: Prime Factorization of 34278

Prime factors of 34278 are 2, 3, 29, 197. Prime factorization of 34278 in exponential form is:

34278 = 2¹ × 3¹ × 29¹ × 197¹

Step-3: Factors of 34258

List of positive integer factors of 34258 that divides 34258 without a remainder.

1, 2, 7, 14, 2447, 4894, 17129

Step-4: Factors of 34278

List of positive integer factors of 34278 that divides 34258 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 197, 394, 591, 1182, 5713, 11426, 17139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34258 and 34278. The biggest common factor number is the GCF number.
So the greatest common factor 34258 and 34278 is 2.

Also check out the Least Common Multiple of 34258 and 34278