What is the Greatest Common Factor of 35982 and 35997?

Greatest common factor (GCF) of 35982 and 35997 is 3.

GCF(35982,35997) = 3

We will now calculate the prime factors of 35982 and 35997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35982 and 35997.

How to find the GCF of 35982 and 35997?

We will first find the prime factorization of 35982 and 35997. After we will calculate the factors of 35982 and 35997 and find the biggest common factor number .

Step-1: Prime Factorization of 35982

Prime factors of 35982 are 2, 3, 1999. Prime factorization of 35982 in exponential form is:

35982 = 2¹ × 3² × 1999¹

Step-2: Prime Factorization of 35997

Prime factors of 35997 are 3, 13, 71. Prime factorization of 35997 in exponential form is:

35997 = 3¹ × 13² × 71¹

Step-3: Factors of 35982

List of positive integer factors of 35982 that divides 35982 without a remainder.

1, 2, 3, 6, 9, 18, 1999, 3998, 5997, 11994, 17991

Step-4: Factors of 35997

List of positive integer factors of 35997 that divides 35982 without a remainder.

1, 3, 13, 39, 71, 169, 213, 507, 923, 2769, 11999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35982 and 35997. The biggest common factor number is the GCF number.
So the greatest common factor 35982 and 35997 is 3.

Also check out the Least Common Multiple of 35982 and 35997