What is the Greatest Common Factor of 75930 and 75946?

Greatest common factor (GCF) of 75930 and 75946 is 2.

GCF(75930,75946) = 2

We will now calculate the prime factors of 75930 and 75946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75930 and 75946.

How to find the GCF of 75930 and 75946?

We will first find the prime factorization of 75930 and 75946. After we will calculate the factors of 75930 and 75946 and find the biggest common factor number .

Step-1: Prime Factorization of 75930

Prime factors of 75930 are 2, 3, 5, 2531. Prime factorization of 75930 in exponential form is:

75930 = 2¹ × 3¹ × 5¹ × 2531¹

Step-2: 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-3: Factors of 75930

List of positive integer factors of 75930 that divides 75930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2531, 5062, 7593, 12655, 15186, 25310, 37965

Step-4: Factors of 75946

List of positive integer factors of 75946 that divides 75930 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75930 and 75946. The biggest common factor number is the GCF number.
So the greatest common factor 75930 and 75946 is 2.

Also check out the Least Common Multiple of 75930 and 75946