What is the Greatest Common Factor of 80682 and 80700?

Greatest common factor (GCF) of 80682 and 80700 is 6.

GCF(80682,80700) = 6

We will now calculate the prime factors of 80682 and 80700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80682 and 80700.

How to find the GCF of 80682 and 80700?

We will first find the prime factorization of 80682 and 80700. After we will calculate the factors of 80682 and 80700 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 80700

Prime factors of 80700 are 2, 3, 5, 269. Prime factorization of 80700 in exponential form is:

80700 = 2² × 3¹ × 5² × 269¹

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 80700

List of positive integer factors of 80700 that divides 80682 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 269, 300, 538, 807, 1076, 1345, 1614, 2690, 3228, 4035, 5380, 6725, 8070, 13450, 16140, 20175, 26900, 40350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80682 and 80700. The biggest common factor number is the GCF number.
So the greatest common factor 80682 and 80700 is 6.

Also check out the Least Common Multiple of 80682 and 80700