What is the Greatest Common Factor of 82670 and 82680?

Greatest common factor (GCF) of 82670 and 82680 is 10.

GCF(82670,82680) = 10

We will now calculate the prime factors of 82670 and 82680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82670 and 82680.

How to find the GCF of 82670 and 82680?

We will first find the prime factorization of 82670 and 82680. After we will calculate the factors of 82670 and 82680 and find the biggest common factor number .

Step-1: Prime Factorization of 82670

Prime factors of 82670 are 2, 5, 7, 1181. Prime factorization of 82670 in exponential form is:

82670 = 2¹ × 5¹ × 7¹ × 1181¹

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 82670

List of positive integer factors of 82670 that divides 82670 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1181, 2362, 5905, 8267, 11810, 16534, 41335

Step-4: Factors of 82680

List of positive integer factors of 82680 that divides 82670 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 82670 and 82680. The biggest common factor number is the GCF number.
So the greatest common factor 82670 and 82680 is 10.

Also check out the Least Common Multiple of 82670 and 82680