What is the Greatest Common Factor of 34846 and 34864?

Greatest common factor (GCF) of 34846 and 34864 is 2.

GCF(34846,34864) = 2

We will now calculate the prime factors of 34846 and 34864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34846 and 34864.

How to find the GCF of 34846 and 34864?

We will first find the prime factorization of 34846 and 34864. After we will calculate the factors of 34846 and 34864 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 34864

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

34864 = 2⁴ × 2179¹

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 34864

List of positive integer factors of 34864 that divides 34846 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34846 and 34864. The biggest common factor number is the GCF number.
So the greatest common factor 34846 and 34864 is 2.

Also check out the Least Common Multiple of 34846 and 34864