What is the Greatest Common Factor of 75930 and 75942?

Greatest common factor (GCF) of 75930 and 75942 is 6.

GCF(75930,75942) = 6

We will now calculate the prime factors of 75930 and 75942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75930 and 75942.

How to find the GCF of 75930 and 75942?

We will first find the prime factorization of 75930 and 75942. After we will calculate the factors of 75930 and 75942 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 75942

Prime factors of 75942 are 2, 3, 4219. Prime factorization of 75942 in exponential form is:

75942 = 2¹ × 3² × 4219¹

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 75942

List of positive integer factors of 75942 that divides 75930 without a remainder.

1, 2, 3, 6, 9, 18, 4219, 8438, 12657, 25314, 37971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75930 and 75942. The biggest common factor number is the GCF number.
So the greatest common factor 75930 and 75942 is 6.

Also check out the Least Common Multiple of 75930 and 75942