What is the Greatest Common Factor of 82134 and 82140?

Greatest common factor (GCF) of 82134 and 82140 is 6.

GCF(82134,82140) = 6

We will now calculate the prime factors of 82134 and 82140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82134 and 82140.

How to find the GCF of 82134 and 82140?

We will first find the prime factorization of 82134 and 82140. After we will calculate the factors of 82134 and 82140 and find the biggest common factor number .

Step-1: Prime Factorization of 82134

Prime factors of 82134 are 2, 3, 13. Prime factorization of 82134 in exponential form is:

82134 = 2¹ × 3⁵ × 13²

Step-2: Prime Factorization of 82140

Prime factors of 82140 are 2, 3, 5, 37. Prime factorization of 82140 in exponential form is:

82140 = 2² × 3¹ × 5¹ × 37²

Step-3: Factors of 82134

List of positive integer factors of 82134 that divides 82134 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 169, 234, 243, 338, 351, 486, 507, 702, 1014, 1053, 1521, 2106, 3042, 3159, 4563, 6318, 9126, 13689, 27378, 41067

Step-4: Factors of 82140

List of positive integer factors of 82140 that divides 82134 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 1369, 2220, 2738, 4107, 5476, 6845, 8214, 13690, 16428, 20535, 27380, 41070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82134 and 82140. The biggest common factor number is the GCF number.
So the greatest common factor 82134 and 82140 is 6.

Also check out the Least Common Multiple of 82134 and 82140