What is the Greatest Common Factor of 80665 and 80682?

Greatest common factor (GCF) of 80665 and 80682 is 17.

GCF(80665,80682) = 17

We will now calculate the prime factors of 80665 and 80682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80665 and 80682.

How to find the GCF of 80665 and 80682?

We will first find the prime factorization of 80665 and 80682. After we will calculate the factors of 80665 and 80682 and find the biggest common factor number .

Step-1: Prime Factorization of 80665

Prime factors of 80665 are 5, 13, 17, 73. Prime factorization of 80665 in exponential form is:

80665 = 5¹ × 13¹ × 17¹ × 73¹

Step-2: 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-3: Factors of 80665

List of positive integer factors of 80665 that divides 80665 without a remainder.

1, 5, 13, 17, 65, 73, 85, 221, 365, 949, 1105, 1241, 4745, 6205, 16133

Step-4: Factors of 80682

List of positive integer factors of 80682 that divides 80665 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80665 and 80682. The biggest common factor number is the GCF number.
So the greatest common factor 80665 and 80682 is 17.

Also check out the Least Common Multiple of 80665 and 80682