What is the Greatest Common Factor of 34048 and 34066?

Greatest common factor (GCF) of 34048 and 34066 is 2.

GCF(34048,34066) = 2

We will now calculate the prime factors of 34048 and 34066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34048 and 34066.

How to find the GCF of 34048 and 34066?

We will first find the prime factorization of 34048 and 34066. After we will calculate the factors of 34048 and 34066 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 34066

Prime factors of 34066 are 2, 17033. Prime factorization of 34066 in exponential form is:

34066 = 2¹ × 17033¹

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 34066

List of positive integer factors of 34066 that divides 34048 without a remainder.

1, 2, 17033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34048 and 34066. The biggest common factor number is the GCF number.
So the greatest common factor 34048 and 34066 is 2.

Also check out the Least Common Multiple of 34048 and 34066