What is the Greatest Common Factor of 34846 and 34856?

Greatest common factor (GCF) of 34846 and 34856 is 2.

GCF(34846,34856) = 2

We will now calculate the prime factors of 34846 and 34856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34846 and 34856.

How to find the GCF of 34846 and 34856?

We will first find the prime factorization of 34846 and 34856. After we will calculate the factors of 34846 and 34856 and find the biggest common factor number .

Step-1: Prime Factorization of 34846

Prime factors of 34846 are 2, 7, 19, 131. Prime factorization of 34846 in exponential form is:

34846 = 2¹ × 7¹ × 19¹ × 131¹

Step-2: Prime Factorization of 34856

Prime factors of 34856 are 2, 4357. Prime factorization of 34856 in exponential form is:

34856 = 2³ × 4357¹

Step-3: Factors of 34846

List of positive integer factors of 34846 that divides 34846 without a remainder.

1, 2, 7, 14, 19, 38, 131, 133, 262, 266, 917, 1834, 2489, 4978, 17423

Step-4: Factors of 34856

List of positive integer factors of 34856 that divides 34846 without a remainder.

1, 2, 4, 8, 4357, 8714, 17428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34846 and 34856. The biggest common factor number is the GCF number.
So the greatest common factor 34846 and 34856 is 2.

Also check out the Least Common Multiple of 34846 and 34856