What is the Greatest Common Factor of 75912 and 75927?

Greatest common factor (GCF) of 75912 and 75927 is 3.

GCF(75912,75927) = 3

We will now calculate the prime factors of 75912 and 75927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75912 and 75927.

How to find the GCF of 75912 and 75927?

We will first find the prime factorization of 75912 and 75927. After we will calculate the factors of 75912 and 75927 and find the biggest common factor number .

Step-1: Prime Factorization of 75912

Prime factors of 75912 are 2, 3, 3163. Prime factorization of 75912 in exponential form is:

75912 = 2³ × 3¹ × 3163¹

Step-2: Prime Factorization of 75927

Prime factors of 75927 are 3, 25309. Prime factorization of 75927 in exponential form is:

75927 = 3¹ × 25309¹

Step-3: Factors of 75912

List of positive integer factors of 75912 that divides 75912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3163, 6326, 9489, 12652, 18978, 25304, 37956

Step-4: Factors of 75927

List of positive integer factors of 75927 that divides 75912 without a remainder.

1, 3, 25309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75912 and 75927. The biggest common factor number is the GCF number.
So the greatest common factor 75912 and 75927 is 3.

Also check out the Least Common Multiple of 75912 and 75927