What is the Greatest Common Factor of 49808 and 49814?

Greatest common factor (GCF) of 49808 and 49814 is 2.

GCF(49808,49814) = 2

We will now calculate the prime factors of 49808 and 49814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49808 and 49814.

How to find the GCF of 49808 and 49814?

We will first find the prime factorization of 49808 and 49814. After we will calculate the factors of 49808 and 49814 and find the biggest common factor number .

Step-1: Prime Factorization of 49808

Prime factors of 49808 are 2, 11, 283. Prime factorization of 49808 in exponential form is:

49808 = 2⁴ × 11¹ × 283¹

Step-2: Prime Factorization of 49814

Prime factors of 49814 are 2, 24907. Prime factorization of 49814 in exponential form is:

49814 = 2¹ × 24907¹

Step-3: Factors of 49808

List of positive integer factors of 49808 that divides 49808 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 283, 566, 1132, 2264, 3113, 4528, 6226, 12452, 24904

Step-4: Factors of 49814

List of positive integer factors of 49814 that divides 49808 without a remainder.

1, 2, 24907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49808 and 49814. The biggest common factor number is the GCF number.
So the greatest common factor 49808 and 49814 is 2.

Also check out the Least Common Multiple of 49808 and 49814