What is the Greatest Common Factor of 34048 and 34052?

Greatest common factor (GCF) of 34048 and 34052 is 4.

GCF(34048,34052) = 4

We will now calculate the prime factors of 34048 and 34052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34048 and 34052.

How to find the GCF of 34048 and 34052?

We will first find the prime factorization of 34048 and 34052. After we will calculate the factors of 34048 and 34052 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 34052

Prime factors of 34052 are 2, 8513. Prime factorization of 34052 in exponential form is:

34052 = 2² × 8513¹

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 34052

List of positive integer factors of 34052 that divides 34048 without a remainder.

1, 2, 4, 8513, 17026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34048 and 34052. The biggest common factor number is the GCF number.
So the greatest common factor 34048 and 34052 is 4.

Also check out the Least Common Multiple of 34048 and 34052