What is the Greatest Common Factor of 49816 and 49832?

Greatest common factor (GCF) of 49816 and 49832 is 8.

GCF(49816,49832) = 8

We will now calculate the prime factors of 49816 and 49832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49816 and 49832.

How to find the GCF of 49816 and 49832?

We will first find the prime factorization of 49816 and 49832. After we will calculate the factors of 49816 and 49832 and find the biggest common factor number .

Step-1: Prime Factorization of 49816

Prime factors of 49816 are 2, 13, 479. Prime factorization of 49816 in exponential form is:

49816 = 2³ × 13¹ × 479¹

Step-2: Prime Factorization of 49832

Prime factors of 49832 are 2, 6229. Prime factorization of 49832 in exponential form is:

49832 = 2³ × 6229¹

Step-3: Factors of 49816

List of positive integer factors of 49816 that divides 49816 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 479, 958, 1916, 3832, 6227, 12454, 24908

Step-4: Factors of 49832

List of positive integer factors of 49832 that divides 49816 without a remainder.

1, 2, 4, 8, 6229, 12458, 24916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49816 and 49832. The biggest common factor number is the GCF number.
So the greatest common factor 49816 and 49832 is 8.

Also check out the Least Common Multiple of 49816 and 49832