What is the Greatest Common Factor of 34032 and 34048?

Greatest common factor (GCF) of 34032 and 34048 is 16.

GCF(34032,34048) = 16

We will now calculate the prime factors of 34032 and 34048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34032 and 34048.

How to find the GCF of 34032 and 34048?

We will first find the prime factorization of 34032 and 34048. After we will calculate the factors of 34032 and 34048 and find the biggest common factor number .

Step-1: Prime Factorization of 34032

Prime factors of 34032 are 2, 3, 709. Prime factorization of 34032 in exponential form is:

34032 = 2⁴ × 3¹ × 709¹

Step-2: 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-3: Factors of 34032

List of positive integer factors of 34032 that divides 34032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 709, 1418, 2127, 2836, 4254, 5672, 8508, 11344, 17016

Step-4: Factors of 34048

List of positive integer factors of 34048 that divides 34032 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34032 and 34048. The biggest common factor number is the GCF number.
So the greatest common factor 34032 and 34048 is 16.

Also check out the Least Common Multiple of 34032 and 34048