What is the Greatest Common Factor of 82110 and 82123?

Greatest common factor (GCF) of 82110 and 82123 is 1.

GCF(82110,82123) = 1

We will now calculate the prime factors of 82110 and 82123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82110 and 82123.

How to find the GCF of 82110 and 82123?

We will first find the prime factorization of 82110 and 82123. After we will calculate the factors of 82110 and 82123 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 82123

Prime factors of 82123 are 41, 2003. Prime factorization of 82123 in exponential form is:

82123 = 41¹ × 2003¹

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 82123

List of positive integer factors of 82123 that divides 82110 without a remainder.

1, 41, 2003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82110 and 82123. The biggest common factor number is the GCF number.
So the greatest common factor 82110 and 82123 is 1.

Also check out the Least Common Multiple of 82110 and 82123