What is the Greatest Common Factor of 29925 and 29943?

Greatest common factor (GCF) of 29925 and 29943 is 9.

GCF(29925,29943) = 9

We will now calculate the prime factors of 29925 and 29943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29925 and 29943.

How to find the GCF of 29925 and 29943?

We will first find the prime factorization of 29925 and 29943. After we will calculate the factors of 29925 and 29943 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 29943

Prime factors of 29943 are 3, 1109. Prime factorization of 29943 in exponential form is:

29943 = 3³ × 1109¹

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 29943

List of positive integer factors of 29943 that divides 29925 without a remainder.

1, 3, 9, 27, 1109, 3327, 9981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29925 and 29943. The biggest common factor number is the GCF number.
So the greatest common factor 29925 and 29943 is 9.

Also check out the Least Common Multiple of 29925 and 29943