What is the Greatest Common Factor of 34048 and 34061?

Greatest common factor (GCF) of 34048 and 34061 is 1.

GCF(34048,34061) = 1

We will now calculate the prime factors of 34048 and 34061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34048 and 34061.

How to find the GCF of 34048 and 34061?

We will first find the prime factorization of 34048 and 34061. After we will calculate the factors of 34048 and 34061 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 34061

Prime factors of 34061 are 34061. Prime factorization of 34061 in exponential form is:

34061 = 34061¹

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 34061

List of positive integer factors of 34061 that divides 34048 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34048 and 34061. The biggest common factor number is the GCF number.
So the greatest common factor 34048 and 34061 is 1.

Also check out the Least Common Multiple of 34048 and 34061