What is the Greatest Common Factor of 76082 and 76094?

Greatest common factor (GCF) of 76082 and 76094 is 2.

GCF(76082,76094) = 2

We will now calculate the prime factors of 76082 and 76094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76082 and 76094.

How to find the GCF of 76082 and 76094?

We will first find the prime factorization of 76082 and 76094. After we will calculate the factors of 76082 and 76094 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 76094

Prime factors of 76094 are 2, 38047. Prime factorization of 76094 in exponential form is:

76094 = 2¹ × 38047¹

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 76094

List of positive integer factors of 76094 that divides 76082 without a remainder.

1, 2, 38047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76082 and 76094. The biggest common factor number is the GCF number.
So the greatest common factor 76082 and 76094 is 2.

Also check out the Least Common Multiple of 76082 and 76094