What is the Greatest Common Factor of 49908 and 49921?

Greatest common factor (GCF) of 49908 and 49921 is 1.

GCF(49908,49921) = 1

We will now calculate the prime factors of 49908 and 49921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49908 and 49921.

How to find the GCF of 49908 and 49921?

We will first find the prime factorization of 49908 and 49921. After we will calculate the factors of 49908 and 49921 and find the biggest common factor number .

Step-1: Prime Factorization of 49908

Prime factors of 49908 are 2, 3, 4159. Prime factorization of 49908 in exponential form is:

49908 = 2² × 3¹ × 4159¹

Step-2: Prime Factorization of 49921

Prime factors of 49921 are 49921. Prime factorization of 49921 in exponential form is:

49921 = 49921¹

Step-3: Factors of 49908

List of positive integer factors of 49908 that divides 49908 without a remainder.

1, 2, 3, 4, 6, 12, 4159, 8318, 12477, 16636, 24954

Step-4: Factors of 49921

List of positive integer factors of 49921 that divides 49908 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49908 and 49921. The biggest common factor number is the GCF number.
So the greatest common factor 49908 and 49921 is 1.

Also check out the Least Common Multiple of 49908 and 49921