What is the Greatest Common Factor of 29925 and 29944?

Greatest common factor (GCF) of 29925 and 29944 is 19.

GCF(29925,29944) = 19

We will now calculate the prime factors of 29925 and 29944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29925 and 29944.

How to find the GCF of 29925 and 29944?

We will first find the prime factorization of 29925 and 29944. After we will calculate the factors of 29925 and 29944 and find the biggest common factor number .

Step-1: Prime Factorization of 29925

Prime factors of 29925 are 3, 5, 7, 19. Prime factorization of 29925 in exponential form is:

29925 = 3² × 5² × 7¹ × 19¹

Step-2: 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-3: Factors of 29925

List of positive integer factors of 29925 that divides 29925 without a remainder.

1, 3, 5, 7, 9, 15, 19, 21, 25, 35, 45, 57, 63, 75, 95, 105, 133, 171, 175, 225, 285, 315, 399, 475, 525, 665, 855, 1197, 1425, 1575, 1995, 3325, 4275, 5985, 9975

Step-4: Factors of 29944

List of positive integer factors of 29944 that divides 29925 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29925 and 29944. The biggest common factor number is the GCF number.
So the greatest common factor 29925 and 29944 is 19.

Also check out the Least Common Multiple of 29925 and 29944