What is the Greatest Common Factor of 34658 and 34678?

Greatest common factor (GCF) of 34658 and 34678 is 2.

GCF(34658,34678) = 2

We will now calculate the prime factors of 34658 and 34678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34658 and 34678.

How to find the GCF of 34658 and 34678?

We will first find the prime factorization of 34658 and 34678. After we will calculate the factors of 34658 and 34678 and find the biggest common factor number .

Step-1: Prime Factorization of 34658

Prime factors of 34658 are 2, 13, 31, 43. Prime factorization of 34658 in exponential form is:

34658 = 2¹ × 13¹ × 31¹ × 43¹

Step-2: Prime Factorization of 34678

Prime factors of 34678 are 2, 7, 2477. Prime factorization of 34678 in exponential form is:

34678 = 2¹ × 7¹ × 2477¹

Step-3: Factors of 34658

List of positive integer factors of 34658 that divides 34658 without a remainder.

1, 2, 13, 26, 31, 43, 62, 86, 403, 559, 806, 1118, 1333, 2666, 17329

Step-4: Factors of 34678

List of positive integer factors of 34678 that divides 34658 without a remainder.

1, 2, 7, 14, 2477, 4954, 17339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34658 and 34678. The biggest common factor number is the GCF number.
So the greatest common factor 34658 and 34678 is 2.

Also check out the Least Common Multiple of 34658 and 34678