What is the Greatest Common Factor of 49944 and 49964?

Greatest common factor (GCF) of 49944 and 49964 is 4.

GCF(49944,49964) = 4

We will now calculate the prime factors of 49944 and 49964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49944 and 49964.

How to find the GCF of 49944 and 49964?

We will first find the prime factorization of 49944 and 49964. After we will calculate the factors of 49944 and 49964 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 49964

Prime factors of 49964 are 2, 12491. Prime factorization of 49964 in exponential form is:

49964 = 2² × 12491¹

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 49964

List of positive integer factors of 49964 that divides 49944 without a remainder.

1, 2, 4, 12491, 24982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49944 and 49964. The biggest common factor number is the GCF number.
So the greatest common factor 49944 and 49964 is 4.

Also check out the Least Common Multiple of 49944 and 49964