What is the Greatest Common Factor of 80764 and 80782?

Greatest common factor (GCF) of 80764 and 80782 is 2.

GCF(80764,80782) = 2

We will now calculate the prime factors of 80764 and 80782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80764 and 80782.

How to find the GCF of 80764 and 80782?

We will first find the prime factorization of 80764 and 80782. After we will calculate the factors of 80764 and 80782 and find the biggest common factor number .

Step-1: Prime Factorization of 80764

Prime factors of 80764 are 2, 61, 331. Prime factorization of 80764 in exponential form is:

80764 = 2² × 61¹ × 331¹

Step-2: Prime Factorization of 80782

Prime factors of 80782 are 2, 13, 239. Prime factorization of 80782 in exponential form is:

80782 = 2¹ × 13² × 239¹

Step-3: Factors of 80764

List of positive integer factors of 80764 that divides 80764 without a remainder.

1, 2, 4, 61, 122, 244, 331, 662, 1324, 20191, 40382

Step-4: Factors of 80782

List of positive integer factors of 80782 that divides 80764 without a remainder.

1, 2, 13, 26, 169, 239, 338, 478, 3107, 6214, 40391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80764 and 80782. The biggest common factor number is the GCF number.
So the greatest common factor 80764 and 80782 is 2.

Also check out the Least Common Multiple of 80764 and 80782