What is the Greatest Common Factor of 34880 and 34894?

Greatest common factor (GCF) of 34880 and 34894 is 2.

GCF(34880,34894) = 2

We will now calculate the prime factors of 34880 and 34894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34880 and 34894.

How to find the GCF of 34880 and 34894?

We will first find the prime factorization of 34880 and 34894. After we will calculate the factors of 34880 and 34894 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34894

Prime factors of 34894 are 2, 73, 239. Prime factorization of 34894 in exponential form is:

34894 = 2¹ × 73¹ × 239¹

Step-3: Factors of 34880

List of positive integer factors of 34880 that divides 34880 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

Step-4: Factors of 34894

List of positive integer factors of 34894 that divides 34880 without a remainder.

1, 2, 73, 146, 239, 478, 17447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34880 and 34894. The biggest common factor number is the GCF number.
So the greatest common factor 34880 and 34894 is 2.

Also check out the Least Common Multiple of 34880 and 34894