What is the Greatest Common Factor of 34048 and 34067?

Greatest common factor (GCF) of 34048 and 34067 is 19.

GCF(34048,34067) = 19

We will now calculate the prime factors of 34048 and 34067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34048 and 34067.

How to find the GCF of 34048 and 34067?

We will first find the prime factorization of 34048 and 34067. After we will calculate the factors of 34048 and 34067 and find the biggest common factor number .

Step-1: Prime Factorization of 34048

Prime factors of 34048 are 2, 7, 19. Prime factorization of 34048 in exponential form is:

34048 = 2⁸ × 7¹ × 19¹

Step-2: Prime Factorization of 34067

Prime factors of 34067 are 11, 19, 163. Prime factorization of 34067 in exponential form is:

34067 = 11¹ × 19¹ × 163¹

Step-3: Factors of 34048

List of positive integer factors of 34048 that divides 34048 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 64, 76, 112, 128, 133, 152, 224, 256, 266, 304, 448, 532, 608, 896, 1064, 1216, 1792, 2128, 2432, 4256, 4864, 8512, 17024

Step-4: Factors of 34067

List of positive integer factors of 34067 that divides 34048 without a remainder.

1, 11, 19, 163, 209, 1793, 3097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34048 and 34067. The biggest common factor number is the GCF number.
So the greatest common factor 34048 and 34067 is 19.

Also check out the Least Common Multiple of 34048 and 34067