What is the Greatest Common Factor of 29925 and 29933?

Greatest common factor (GCF) of 29925 and 29933 is 1.

GCF(29925,29933) = 1

We will now calculate the prime factors of 29925 and 29933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29925 and 29933.

How to find the GCF of 29925 and 29933?

We will first find the prime factorization of 29925 and 29933. After we will calculate the factors of 29925 and 29933 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 29933

Prime factors of 29933 are 37, 809. Prime factorization of 29933 in exponential form is:

29933 = 37¹ × 809¹

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 29933

List of positive integer factors of 29933 that divides 29925 without a remainder.

1, 37, 809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29925 and 29933. The biggest common factor number is the GCF number.
So the greatest common factor 29925 and 29933 is 1.

Also check out the Least Common Multiple of 29925 and 29933