What is the Greatest Common Factor of 35968 and 35982?

Greatest common factor (GCF) of 35968 and 35982 is 2.

GCF(35968,35982) = 2

We will now calculate the prime factors of 35968 and 35982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35968 and 35982.

How to find the GCF of 35968 and 35982?

We will first find the prime factorization of 35968 and 35982. After we will calculate the factors of 35968 and 35982 and find the biggest common factor number .

Step-1: Prime Factorization of 35968

Prime factors of 35968 are 2, 281. Prime factorization of 35968 in exponential form is:

35968 = 2⁷ × 281¹

Step-2: 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-3: Factors of 35968

List of positive integer factors of 35968 that divides 35968 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 281, 562, 1124, 2248, 4496, 8992, 17984

Step-4: Factors of 35982

List of positive integer factors of 35982 that divides 35968 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35968 and 35982. The biggest common factor number is the GCF number.
So the greatest common factor 35968 and 35982 is 2.

Also check out the Least Common Multiple of 35968 and 35982