What is the Greatest Common Factor of 76082 and 76087?

Greatest common factor (GCF) of 76082 and 76087 is 1.

GCF(76082,76087) = 1

We will now calculate the prime factors of 76082 and 76087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76082 and 76087.

How to find the GCF of 76082 and 76087?

We will first find the prime factorization of 76082 and 76087. After we will calculate the factors of 76082 and 76087 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76087

Prime factors of 76087 are 11, 6917. Prime factorization of 76087 in exponential form is:

76087 = 11¹ × 6917¹

Step-3: Factors of 76082

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

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

Step-4: Factors of 76087

List of positive integer factors of 76087 that divides 76082 without a remainder.

1, 11, 6917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76082 and 76087. The biggest common factor number is the GCF number.
So the greatest common factor 76082 and 76087 is 1.

Also check out the Least Common Multiple of 76082 and 76087