What is the Greatest Common Factor of 75934 and 75954?

Greatest common factor (GCF) of 75934 and 75954 is 2.

GCF(75934,75954) = 2

We will now calculate the prime factors of 75934 and 75954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75934 and 75954.

How to find the GCF of 75934 and 75954?

We will first find the prime factorization of 75934 and 75954. After we will calculate the factors of 75934 and 75954 and find the biggest common factor number .

Step-1: Prime Factorization of 75934

Prime factors of 75934 are 2, 37967. Prime factorization of 75934 in exponential form is:

75934 = 2¹ × 37967¹

Step-2: 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-3: Factors of 75934

List of positive integer factors of 75934 that divides 75934 without a remainder.

1, 2, 37967

Step-4: Factors of 75954

List of positive integer factors of 75954 that divides 75934 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75934 and 75954. The biggest common factor number is the GCF number.
So the greatest common factor 75934 and 75954 is 2.

Also check out the Least Common Multiple of 75934 and 75954