What is the Greatest Common Factor of 82110 and 82115?

Greatest common factor (GCF) of 82110 and 82115 is 5.

GCF(82110,82115) = 5

We will now calculate the prime factors of 82110 and 82115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82110 and 82115.

How to find the GCF of 82110 and 82115?

We will first find the prime factorization of 82110 and 82115. After we will calculate the factors of 82110 and 82115 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 82115

Prime factors of 82115 are 5, 11, 1493. Prime factorization of 82115 in exponential form is:

82115 = 5¹ × 11¹ × 1493¹

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 82115

List of positive integer factors of 82115 that divides 82110 without a remainder.

1, 5, 11, 55, 1493, 7465, 16423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82110 and 82115. The biggest common factor number is the GCF number.
So the greatest common factor 82110 and 82115 is 5.

Also check out the Least Common Multiple of 82110 and 82115