What is the Greatest Common Factor of 29944 and 29963?

Greatest common factor (GCF) of 29944 and 29963 is 19.

GCF(29944,29963) = 19

We will now calculate the prime factors of 29944 and 29963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29944 and 29963.

How to find the GCF of 29944 and 29963?

We will first find the prime factorization of 29944 and 29963. After we will calculate the factors of 29944 and 29963 and find the biggest common factor number .

Step-1: Prime Factorization of 29944

Prime factors of 29944 are 2, 19, 197. Prime factorization of 29944 in exponential form is:

29944 = 2³ × 19¹ × 197¹

Step-2: Prime Factorization of 29963

Prime factors of 29963 are 19, 83. Prime factorization of 29963 in exponential form is:

29963 = 19² × 83¹

Step-3: Factors of 29944

List of positive integer factors of 29944 that divides 29944 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 197, 394, 788, 1576, 3743, 7486, 14972

Step-4: Factors of 29963

List of positive integer factors of 29963 that divides 29944 without a remainder.

1, 19, 83, 361, 1577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29944 and 29963. The biggest common factor number is the GCF number.
So the greatest common factor 29944 and 29963 is 19.

Also check out the Least Common Multiple of 29944 and 29963