What is the Greatest Common Factor of 66925 and 66933?

Greatest common factor (GCF) of 66925 and 66933 is 1.

GCF(66925,66933) = 1

We will now calculate the prime factors of 66925 and 66933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66925 and 66933.

How to find the GCF of 66925 and 66933?

We will first find the prime factorization of 66925 and 66933. After we will calculate the factors of 66925 and 66933 and find the biggest common factor number .

Step-1: Prime Factorization of 66925

Prime factors of 66925 are 5, 2677. Prime factorization of 66925 in exponential form is:

66925 = 5² × 2677¹

Step-2: Prime Factorization of 66933

Prime factors of 66933 are 3, 37, 67. Prime factorization of 66933 in exponential form is:

66933 = 3³ × 37¹ × 67¹

Step-3: Factors of 66925

List of positive integer factors of 66925 that divides 66925 without a remainder.

1, 5, 25, 2677, 13385

Step-4: Factors of 66933

List of positive integer factors of 66933 that divides 66925 without a remainder.

1, 3, 9, 27, 37, 67, 111, 201, 333, 603, 999, 1809, 2479, 7437, 22311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66925 and 66933. The biggest common factor number is the GCF number.
So the greatest common factor 66925 and 66933 is 1.

Also check out the Least Common Multiple of 66925 and 66933