What is the Greatest Common Factor of 49834 and 49846?

Greatest common factor (GCF) of 49834 and 49846 is 2.

GCF(49834,49846) = 2

We will now calculate the prime factors of 49834 and 49846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49834 and 49846.

How to find the GCF of 49834 and 49846?

We will first find the prime factorization of 49834 and 49846. After we will calculate the factors of 49834 and 49846 and find the biggest common factor number .

Step-1: Prime Factorization of 49834

Prime factors of 49834 are 2, 24917. Prime factorization of 49834 in exponential form is:

49834 = 2¹ × 24917¹

Step-2: Prime Factorization of 49846

Prime factors of 49846 are 2, 24923. Prime factorization of 49846 in exponential form is:

49846 = 2¹ × 24923¹

Step-3: Factors of 49834

List of positive integer factors of 49834 that divides 49834 without a remainder.

1, 2, 24917

Step-4: Factors of 49846

List of positive integer factors of 49846 that divides 49834 without a remainder.

1, 2, 24923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49834 and 49846. The biggest common factor number is the GCF number.
So the greatest common factor 49834 and 49846 is 2.

Also check out the Least Common Multiple of 49834 and 49846