What is the Greatest Common Factor of 68370 and 68382?

Greatest common factor (GCF) of 68370 and 68382 is 6.

GCF(68370,68382) = 6

We will now calculate the prime factors of 68370 and 68382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68370 and 68382.

How to find the GCF of 68370 and 68382?

We will first find the prime factorization of 68370 and 68382. After we will calculate the factors of 68370 and 68382 and find the biggest common factor number .

Step-1: Prime Factorization of 68370

Prime factors of 68370 are 2, 3, 5, 43, 53. Prime factorization of 68370 in exponential form is:

68370 = 2¹ × 3¹ × 5¹ × 43¹ × 53¹

Step-2: Prime Factorization of 68382

Prime factors of 68382 are 2, 3, 29, 131. Prime factorization of 68382 in exponential form is:

68382 = 2¹ × 3² × 29¹ × 131¹

Step-3: Factors of 68370

List of positive integer factors of 68370 that divides 68370 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 53, 86, 106, 129, 159, 215, 258, 265, 318, 430, 530, 645, 795, 1290, 1590, 2279, 4558, 6837, 11395, 13674, 22790, 34185

Step-4: Factors of 68382

List of positive integer factors of 68382 that divides 68370 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 131, 174, 261, 262, 393, 522, 786, 1179, 2358, 3799, 7598, 11397, 22794, 34191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68370 and 68382. The biggest common factor number is the GCF number.
So the greatest common factor 68370 and 68382 is 6.

Also check out the Least Common Multiple of 68370 and 68382