What is the Greatest Common Factor of 80668 and 80682?

Greatest common factor (GCF) of 80668 and 80682 is 14.

GCF(80668,80682) = 14

We will now calculate the prime factors of 80668 and 80682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80668 and 80682.

How to find the GCF of 80668 and 80682?

We will first find the prime factorization of 80668 and 80682. After we will calculate the factors of 80668 and 80682 and find the biggest common factor number .

Step-1: Prime Factorization of 80668

Prime factors of 80668 are 2, 7, 43, 67. Prime factorization of 80668 in exponential form is:

80668 = 2² × 7¹ × 43¹ × 67¹

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 80668

List of positive integer factors of 80668 that divides 80668 without a remainder.

1, 2, 4, 7, 14, 28, 43, 67, 86, 134, 172, 268, 301, 469, 602, 938, 1204, 1876, 2881, 5762, 11524, 20167, 40334

Step-4: Factors of 80682

List of positive integer factors of 80682 that divides 80668 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 80668 and 80682. The biggest common factor number is the GCF number.
So the greatest common factor 80668 and 80682 is 14.

Also check out the Least Common Multiple of 80668 and 80682