What is the Greatest Common Factor of 76374 and 76382?

Greatest common factor (GCF) of 76374 and 76382 is 2.

GCF(76374,76382) = 2

We will now calculate the prime factors of 76374 and 76382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76374 and 76382.

How to find the GCF of 76374 and 76382?

We will first find the prime factorization of 76374 and 76382. After we will calculate the factors of 76374 and 76382 and find the biggest common factor number .

Step-1: Prime Factorization of 76374

Prime factors of 76374 are 2, 3, 4243. Prime factorization of 76374 in exponential form is:

76374 = 2¹ × 3² × 4243¹

Step-2: Prime Factorization of 76382

Prime factors of 76382 are 2, 181, 211. Prime factorization of 76382 in exponential form is:

76382 = 2¹ × 181¹ × 211¹

Step-3: Factors of 76374

List of positive integer factors of 76374 that divides 76374 without a remainder.

1, 2, 3, 6, 9, 18, 4243, 8486, 12729, 25458, 38187

Step-4: Factors of 76382

List of positive integer factors of 76382 that divides 76374 without a remainder.

1, 2, 181, 211, 362, 422, 38191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76374 and 76382. The biggest common factor number is the GCF number.
So the greatest common factor 76374 and 76382 is 2.

Also check out the Least Common Multiple of 76374 and 76382