What is the Greatest Common Factor of 71982 and 71997?

Greatest common factor (GCF) of 71982 and 71997 is 3.

GCF(71982,71997) = 3

We will now calculate the prime factors of 71982 and 71997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71982 and 71997.

How to find the GCF of 71982 and 71997?

We will first find the prime factorization of 71982 and 71997. After we will calculate the factors of 71982 and 71997 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 71997

Prime factors of 71997 are 3, 103, 233. Prime factorization of 71997 in exponential form is:

71997 = 3¹ × 103¹ × 233¹

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 71997

List of positive integer factors of 71997 that divides 71982 without a remainder.

1, 3, 103, 233, 309, 699, 23999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71982 and 71997. The biggest common factor number is the GCF number.
So the greatest common factor 71982 and 71997 is 3.

Also check out the Least Common Multiple of 71982 and 71997