What is the Greatest Common Factor of 82110 and 82116?

Greatest common factor (GCF) of 82110 and 82116 is 6.

GCF(82110,82116) = 6

We will now calculate the prime factors of 82110 and 82116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82110 and 82116.

How to find the GCF of 82110 and 82116?

We will first find the prime factorization of 82110 and 82116. After we will calculate the factors of 82110 and 82116 and find the biggest common factor number .

Step-1: Prime Factorization of 82110

Prime factors of 82110 are 2, 3, 5, 7, 17, 23. Prime factorization of 82110 in exponential form is:

82110 = 2¹ × 3¹ × 5¹ × 7¹ × 17¹ × 23¹

Step-2: Prime Factorization of 82116

Prime factors of 82116 are 2, 3, 2281. Prime factorization of 82116 in exponential form is:

82116 = 2² × 3² × 2281¹

Step-3: Factors of 82110

List of positive integer factors of 82110 that divides 82110 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 23, 30, 34, 35, 42, 46, 51, 69, 70, 85, 102, 105, 115, 119, 138, 161, 170, 210, 230, 238, 255, 322, 345, 357, 391, 483, 510, 595, 690, 714, 782, 805, 966, 1173, 1190, 1610, 1785, 1955, 2346, 2415, 2737, 3570, 3910, 4830, 5474, 5865, 8211, 11730, 13685, 16422, 27370, 41055

Step-4: Factors of 82116

List of positive integer factors of 82116 that divides 82110 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2281, 4562, 6843, 9124, 13686, 20529, 27372, 41058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82110 and 82116. The biggest common factor number is the GCF number.
So the greatest common factor 82110 and 82116 is 6.

Also check out the Least Common Multiple of 82110 and 82116