What is the Greatest Common Factor of 82680 and 82698?

Greatest common factor (GCF) of 82680 and 82698 is 6.

GCF(82680,82698) = 6

We will now calculate the prime factors of 82680 and 82698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82680 and 82698.

How to find the GCF of 82680 and 82698?

We will first find the prime factorization of 82680 and 82698. After we will calculate the factors of 82680 and 82698 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82698

Prime factors of 82698 are 2, 3, 7, 11, 179. Prime factorization of 82698 in exponential form is:

82698 = 2¹ × 3¹ × 7¹ × 11¹ × 179¹

Step-3: Factors of 82680

List of positive integer factors of 82680 that divides 82680 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

Step-4: Factors of 82698

List of positive integer factors of 82698 that divides 82680 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 179, 231, 358, 462, 537, 1074, 1253, 1969, 2506, 3759, 3938, 5907, 7518, 11814, 13783, 27566, 41349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82680 and 82698. The biggest common factor number is the GCF number.
So the greatest common factor 82680 and 82698 is 6.

Also check out the Least Common Multiple of 82680 and 82698