What is the Greatest Common Factor of 3927 and 3944?

Greatest common factor (GCF) of 3927 and 3944 is 17.

GCF(3927,3944) = 17

We will now calculate the prime factors of 3927 and 3944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3927 and 3944.

How to find the GCF of 3927 and 3944?

We will first find the prime factorization of 3927 and 3944. After we will calculate the factors of 3927 and 3944 and find the biggest common factor number .

Step-1: Prime Factorization of 3927

Prime factors of 3927 are 3, 7, 11, 17. Prime factorization of 3927 in exponential form is:

3927 = 3¹ × 7¹ × 11¹ × 17¹

Step-2: Prime Factorization of 3944

Prime factors of 3944 are 2, 17, 29. Prime factorization of 3944 in exponential form is:

3944 = 2³ × 17¹ × 29¹

Step-3: Factors of 3927

List of positive integer factors of 3927 that divides 3927 without a remainder.

1, 3, 7, 11, 17, 21, 33, 51, 77, 119, 187, 231, 357, 561, 1309

Step-4: Factors of 3944

List of positive integer factors of 3944 that divides 3927 without a remainder.

1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3927 and 3944. The biggest common factor number is the GCF number.
So the greatest common factor 3927 and 3944 is 17.

Also check out the Least Common Multiple of 3927 and 3944