What is the Greatest Common Factor of 75954 and 75965?

Greatest common factor (GCF) of 75954 and 75965 is 1.

GCF(75954,75965) = 1

We will now calculate the prime factors of 75954 and 75965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75954 and 75965.

How to find the GCF of 75954 and 75965?

We will first find the prime factorization of 75954 and 75965. After we will calculate the factors of 75954 and 75965 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 75965

Prime factors of 75965 are 5, 15193. Prime factorization of 75965 in exponential form is:

75965 = 5¹ × 15193¹

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 75965

List of positive integer factors of 75965 that divides 75954 without a remainder.

1, 5, 15193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75954 and 75965. The biggest common factor number is the GCF number.
So the greatest common factor 75954 and 75965 is 1.

Also check out the Least Common Multiple of 75954 and 75965