What is the Greatest Common Factor of 80782 and 80802?

Greatest common factor (GCF) of 80782 and 80802 is 2.

GCF(80782,80802) = 2

We will now calculate the prime factors of 80782 and 80802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80782 and 80802.

How to find the GCF of 80782 and 80802?

We will first find the prime factorization of 80782 and 80802. After we will calculate the factors of 80782 and 80802 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80802

Prime factors of 80802 are 2, 3, 67. Prime factorization of 80802 in exponential form is:

80802 = 2¹ × 3² × 67²

Step-3: Factors of 80782

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

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

Step-4: Factors of 80802

List of positive integer factors of 80802 that divides 80782 without a remainder.

1, 2, 3, 6, 9, 18, 67, 134, 201, 402, 603, 1206, 4489, 8978, 13467, 26934, 40401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80782 and 80802. The biggest common factor number is the GCF number.
So the greatest common factor 80782 and 80802 is 2.

Also check out the Least Common Multiple of 80782 and 80802