What is the Greatest Common Factor of 49944 and 49954?

Greatest common factor (GCF) of 49944 and 49954 is 2.

GCF(49944,49954) = 2

We will now calculate the prime factors of 49944 and 49954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49944 and 49954.

How to find the GCF of 49944 and 49954?

We will first find the prime factorization of 49944 and 49954. After we will calculate the factors of 49944 and 49954 and find the biggest common factor number .

Step-1: Prime Factorization of 49944

Prime factors of 49944 are 2, 3, 2081. Prime factorization of 49944 in exponential form is:

49944 = 2³ × 3¹ × 2081¹

Step-2: Prime Factorization of 49954

Prime factors of 49954 are 2, 24977. Prime factorization of 49954 in exponential form is:

49954 = 2¹ × 24977¹

Step-3: Factors of 49944

List of positive integer factors of 49944 that divides 49944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2081, 4162, 6243, 8324, 12486, 16648, 24972

Step-4: Factors of 49954

List of positive integer factors of 49954 that divides 49944 without a remainder.

1, 2, 24977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49944 and 49954. The biggest common factor number is the GCF number.
So the greatest common factor 49944 and 49954 is 2.

Also check out the Least Common Multiple of 49944 and 49954