What is the Greatest Common Factor of 49806 and 49822?

Greatest common factor (GCF) of 49806 and 49822 is 2.

GCF(49806,49822) = 2

We will now calculate the prime factors of 49806 and 49822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49806 and 49822.

How to find the GCF of 49806 and 49822?

We will first find the prime factorization of 49806 and 49822. After we will calculate the factors of 49806 and 49822 and find the biggest common factor number .

Step-1: Prime Factorization of 49806

Prime factors of 49806 are 2, 3, 2767. Prime factorization of 49806 in exponential form is:

49806 = 2¹ × 3² × 2767¹

Step-2: Prime Factorization of 49822

Prime factors of 49822 are 2, 29, 859. Prime factorization of 49822 in exponential form is:

49822 = 2¹ × 29¹ × 859¹

Step-3: Factors of 49806

List of positive integer factors of 49806 that divides 49806 without a remainder.

1, 2, 3, 6, 9, 18, 2767, 5534, 8301, 16602, 24903

Step-4: Factors of 49822

List of positive integer factors of 49822 that divides 49806 without a remainder.

1, 2, 29, 58, 859, 1718, 24911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49806 and 49822. The biggest common factor number is the GCF number.
So the greatest common factor 49806 and 49822 is 2.

Also check out the Least Common Multiple of 49806 and 49822