What is the Greatest Common Factor of 71982 and 71994?

Greatest common factor (GCF) of 71982 and 71994 is 6.

GCF(71982,71994) = 6

We will now calculate the prime factors of 71982 and 71994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71982 and 71994.

How to find the GCF of 71982 and 71994?

We will first find the prime factorization of 71982 and 71994. After we will calculate the factors of 71982 and 71994 and find the biggest common factor number .

Step-1: Prime Factorization of 71982

Prime factors of 71982 are 2, 3, 31, 43. Prime factorization of 71982 in exponential form is:

71982 = 2¹ × 3³ × 31¹ × 43¹

Step-2: Prime Factorization of 71994

Prime factors of 71994 are 2, 3, 13, 71. Prime factorization of 71994 in exponential form is:

71994 = 2¹ × 3¹ × 13² × 71¹

Step-3: Factors of 71982

List of positive integer factors of 71982 that divides 71982 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 43, 54, 62, 86, 93, 129, 186, 258, 279, 387, 558, 774, 837, 1161, 1333, 1674, 2322, 2666, 3999, 7998, 11997, 23994, 35991

Step-4: Factors of 71994

List of positive integer factors of 71994 that divides 71982 without a remainder.

1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 169, 213, 338, 426, 507, 923, 1014, 1846, 2769, 5538, 11999, 23998, 35997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71982 and 71994. The biggest common factor number is the GCF number.
So the greatest common factor 71982 and 71994 is 6.

Also check out the Least Common Multiple of 71982 and 71994