What is the Greatest Common Factor of 34664 and 34678?

Greatest common factor (GCF) of 34664 and 34678 is 14.

GCF(34664,34678) = 14

We will now calculate the prime factors of 34664 and 34678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34664 and 34678.

How to find the GCF of 34664 and 34678?

We will first find the prime factorization of 34664 and 34678. After we will calculate the factors of 34664 and 34678 and find the biggest common factor number .

Step-1: Prime Factorization of 34664

Prime factors of 34664 are 2, 7, 619. Prime factorization of 34664 in exponential form is:

34664 = 2³ × 7¹ × 619¹

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 34664

List of positive integer factors of 34664 that divides 34664 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 619, 1238, 2476, 4333, 4952, 8666, 17332

Step-4: Factors of 34678

List of positive integer factors of 34678 that divides 34664 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34664 and 34678. The biggest common factor number is the GCF number.
So the greatest common factor 34664 and 34678 is 14.

Also check out the Least Common Multiple of 34664 and 34678