What is the Greatest Common Factor of 49929 and 49944?

Greatest common factor (GCF) of 49929 and 49944 is 3.

GCF(49929,49944) = 3

We will now calculate the prime factors of 49929 and 49944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49929 and 49944.

How to find the GCF of 49929 and 49944?

We will first find the prime factorization of 49929 and 49944. After we will calculate the factors of 49929 and 49944 and find the biggest common factor number .

Step-1: Prime Factorization of 49929

Prime factors of 49929 are 3, 11, 17, 89. Prime factorization of 49929 in exponential form is:

49929 = 3¹ × 11¹ × 17¹ × 89¹

Step-2: 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-3: Factors of 49929

List of positive integer factors of 49929 that divides 49929 without a remainder.

1, 3, 11, 17, 33, 51, 89, 187, 267, 561, 979, 1513, 2937, 4539, 16643

Step-4: Factors of 49944

List of positive integer factors of 49944 that divides 49929 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49929 and 49944. The biggest common factor number is the GCF number.
So the greatest common factor 49929 and 49944 is 3.

Also check out the Least Common Multiple of 49929 and 49944