What is the Greatest Common Factor of 80682 and 80699?

Greatest common factor (GCF) of 80682 and 80699 is 17.

GCF(80682,80699) = 17

We will now calculate the prime factors of 80682 and 80699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80682 and 80699.

How to find the GCF of 80682 and 80699?

We will first find the prime factorization of 80682 and 80699. After we will calculate the factors of 80682 and 80699 and find the biggest common factor number .

Step-1: Prime Factorization of 80682

Prime factors of 80682 are 2, 3, 7, 17, 113. Prime factorization of 80682 in exponential form is:

80682 = 2¹ × 3¹ × 7¹ × 17¹ × 113¹

Step-2: Prime Factorization of 80699

Prime factors of 80699 are 17, 47, 101. Prime factorization of 80699 in exponential form is:

80699 = 17¹ × 47¹ × 101¹

Step-3: Factors of 80682

List of positive integer factors of 80682 that divides 80682 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 113, 119, 226, 238, 339, 357, 678, 714, 791, 1582, 1921, 2373, 3842, 4746, 5763, 11526, 13447, 26894, 40341

Step-4: Factors of 80699

List of positive integer factors of 80699 that divides 80682 without a remainder.

1, 17, 47, 101, 799, 1717, 4747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80682 and 80699. The biggest common factor number is the GCF number.
So the greatest common factor 80682 and 80699 is 17.

Also check out the Least Common Multiple of 80682 and 80699