What is the Greatest Common Factor of 76074 and 76082?

Greatest common factor (GCF) of 76074 and 76082 is 2.

GCF(76074,76082) = 2

We will now calculate the prime factors of 76074 and 76082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76074 and 76082.

How to find the GCF of 76074 and 76082?

We will first find the prime factorization of 76074 and 76082. After we will calculate the factors of 76074 and 76082 and find the biggest common factor number .

Step-1: Prime Factorization of 76074

Prime factors of 76074 are 2, 3, 31, 409. Prime factorization of 76074 in exponential form is:

76074 = 2¹ × 3¹ × 31¹ × 409¹

Step-2: Prime Factorization of 76082

Prime factors of 76082 are 2, 109, 349. Prime factorization of 76082 in exponential form is:

76082 = 2¹ × 109¹ × 349¹

Step-3: Factors of 76074

List of positive integer factors of 76074 that divides 76074 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 409, 818, 1227, 2454, 12679, 25358, 38037

Step-4: Factors of 76082

List of positive integer factors of 76082 that divides 76074 without a remainder.

1, 2, 109, 218, 349, 698, 38041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76074 and 76082. The biggest common factor number is the GCF number.
So the greatest common factor 76074 and 76082 is 2.

Also check out the Least Common Multiple of 76074 and 76082