What is the Greatest Common Factor of 82667 and 82680?

Greatest common factor (GCF) of 82667 and 82680 is 13.

GCF(82667,82680) = 13

We will now calculate the prime factors of 82667 and 82680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82667 and 82680.

How to find the GCF of 82667 and 82680?

We will first find the prime factorization of 82667 and 82680. After we will calculate the factors of 82667 and 82680 and find the biggest common factor number .

Step-1: Prime Factorization of 82667

Prime factors of 82667 are 13, 6359. Prime factorization of 82667 in exponential form is:

82667 = 13¹ × 6359¹

Step-2: Prime Factorization of 82680

Prime factors of 82680 are 2, 3, 5, 13, 53. Prime factorization of 82680 in exponential form is:

82680 = 2³ × 3¹ × 5¹ × 13¹ × 53¹

Step-3: Factors of 82667

List of positive integer factors of 82667 that divides 82667 without a remainder.

1, 13, 6359

Step-4: Factors of 82680

List of positive integer factors of 82680 that divides 82667 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 53, 60, 65, 78, 104, 106, 120, 130, 156, 159, 195, 212, 260, 265, 312, 318, 390, 424, 520, 530, 636, 689, 780, 795, 1060, 1272, 1378, 1560, 1590, 2067, 2120, 2756, 3180, 3445, 4134, 5512, 6360, 6890, 8268, 10335, 13780, 16536, 20670, 27560, 41340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82667 and 82680. The biggest common factor number is the GCF number.
So the greatest common factor 82667 and 82680 is 13.

Also check out the Least Common Multiple of 82667 and 82680