What is the Greatest Common Factor of 35925 and 35933?

Greatest common factor (GCF) of 35925 and 35933 is 1.

GCF(35925,35933) = 1

We will now calculate the prime factors of 35925 and 35933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35925 and 35933.

How to find the GCF of 35925 and 35933?

We will first find the prime factorization of 35925 and 35933. After we will calculate the factors of 35925 and 35933 and find the biggest common factor number .

Step-1: Prime Factorization of 35925

Prime factors of 35925 are 3, 5, 479. Prime factorization of 35925 in exponential form is:

35925 = 3¹ × 5² × 479¹

Step-2: Prime Factorization of 35933

Prime factors of 35933 are 35933. Prime factorization of 35933 in exponential form is:

35933 = 35933¹

Step-3: Factors of 35925

List of positive integer factors of 35925 that divides 35925 without a remainder.

1, 3, 5, 15, 25, 75, 479, 1437, 2395, 7185, 11975

Step-4: Factors of 35933

List of positive integer factors of 35933 that divides 35925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35925 and 35933. The biggest common factor number is the GCF number.
So the greatest common factor 35925 and 35933 is 1.

Also check out the Least Common Multiple of 35925 and 35933