What is the Greatest Common Factor of 75954 and 75969?

Greatest common factor (GCF) of 75954 and 75969 is 3.

GCF(75954,75969) = 3

We will now calculate the prime factors of 75954 and 75969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75954 and 75969.

How to find the GCF of 75954 and 75969?

We will first find the prime factorization of 75954 and 75969. After we will calculate the factors of 75954 and 75969 and find the biggest common factor number .

Step-1: Prime Factorization of 75954

Prime factors of 75954 are 2, 3, 12659. Prime factorization of 75954 in exponential form is:

75954 = 2¹ × 3¹ × 12659¹

Step-2: Prime Factorization of 75969

Prime factors of 75969 are 3, 23, 367. Prime factorization of 75969 in exponential form is:

75969 = 3² × 23¹ × 367¹

Step-3: Factors of 75954

List of positive integer factors of 75954 that divides 75954 without a remainder.

1, 2, 3, 6, 12659, 25318, 37977

Step-4: Factors of 75969

List of positive integer factors of 75969 that divides 75954 without a remainder.

1, 3, 9, 23, 69, 207, 367, 1101, 3303, 8441, 25323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75954 and 75969. The biggest common factor number is the GCF number.
So the greatest common factor 75954 and 75969 is 3.

Also check out the Least Common Multiple of 75954 and 75969