What is the Greatest Common Factor of 34864 and 34880?

Greatest common factor (GCF) of 34864 and 34880 is 16.

GCF(34864,34880) = 16

We will now calculate the prime factors of 34864 and 34880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34864 and 34880.

How to find the GCF of 34864 and 34880?

We will first find the prime factorization of 34864 and 34880. After we will calculate the factors of 34864 and 34880 and find the biggest common factor number .

Step-1: Prime Factorization of 34864

Prime factors of 34864 are 2, 2179. Prime factorization of 34864 in exponential form is:

34864 = 2⁴ × 2179¹

Step-2: Prime Factorization of 34880

Prime factors of 34880 are 2, 5, 109. Prime factorization of 34880 in exponential form is:

34880 = 2⁶ × 5¹ × 109¹

Step-3: Factors of 34864

List of positive integer factors of 34864 that divides 34864 without a remainder.

1, 2, 4, 8, 16, 2179, 4358, 8716, 17432

Step-4: Factors of 34880

List of positive integer factors of 34880 that divides 34864 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 109, 160, 218, 320, 436, 545, 872, 1090, 1744, 2180, 3488, 4360, 6976, 8720, 17440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34864 and 34880. The biggest common factor number is the GCF number.
So the greatest common factor 34864 and 34880 is 16.

Also check out the Least Common Multiple of 34864 and 34880