What is the Greatest Common Factor of 75946 and 75954?

Greatest common factor (GCF) of 75946 and 75954 is 2.

GCF(75946,75954) = 2

We will now calculate the prime factors of 75946 and 75954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75946 and 75954.

How to find the GCF of 75946 and 75954?

We will first find the prime factorization of 75946 and 75954. After we will calculate the factors of 75946 and 75954 and find the biggest common factor number .

Step-1: Prime Factorization of 75946

Prime factors of 75946 are 2, 13, 23, 127. Prime factorization of 75946 in exponential form is:

75946 = 2¹ × 13¹ × 23¹ × 127¹

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 75946

List of positive integer factors of 75946 that divides 75946 without a remainder.

1, 2, 13, 23, 26, 46, 127, 254, 299, 598, 1651, 2921, 3302, 5842, 37973

Step-4: Factors of 75954

List of positive integer factors of 75954 that divides 75946 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75946 and 75954. The biggest common factor number is the GCF number.
So the greatest common factor 75946 and 75954 is 2.

Also check out the Least Common Multiple of 75946 and 75954