What is the Greatest Common Factor of 82110 and 82119?

Greatest common factor (GCF) of 82110 and 82119 is 3.

GCF(82110,82119) = 3

We will now calculate the prime factors of 82110 and 82119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82110 and 82119.

How to find the GCF of 82110 and 82119?

We will first find the prime factorization of 82110 and 82119. After we will calculate the factors of 82110 and 82119 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 82119

Prime factors of 82119 are 3, 31, 883. Prime factorization of 82119 in exponential form is:

82119 = 3¹ × 31¹ × 883¹

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 82119

List of positive integer factors of 82119 that divides 82110 without a remainder.

1, 3, 31, 93, 883, 2649, 27373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82110 and 82119. The biggest common factor number is the GCF number.
So the greatest common factor 82110 and 82119 is 3.

Also check out the Least Common Multiple of 82110 and 82119