What is the Greatest Common Factor of 33982 and 33995?

Greatest common factor (GCF) of 33982 and 33995 is 13.

GCF(33982,33995) = 13

We will now calculate the prime factors of 33982 and 33995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33982 and 33995.

How to find the GCF of 33982 and 33995?

We will first find the prime factorization of 33982 and 33995. After we will calculate the factors of 33982 and 33995 and find the biggest common factor number .

Step-1: Prime Factorization of 33982

Prime factors of 33982 are 2, 13, 1307. Prime factorization of 33982 in exponential form is:

33982 = 2¹ × 13¹ × 1307¹

Step-2: Prime Factorization of 33995

Prime factors of 33995 are 5, 13, 523. Prime factorization of 33995 in exponential form is:

33995 = 5¹ × 13¹ × 523¹

Step-3: Factors of 33982

List of positive integer factors of 33982 that divides 33982 without a remainder.

1, 2, 13, 26, 1307, 2614, 16991

Step-4: Factors of 33995

List of positive integer factors of 33995 that divides 33982 without a remainder.

1, 5, 13, 65, 523, 2615, 6799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33982 and 33995. The biggest common factor number is the GCF number.
So the greatest common factor 33982 and 33995 is 13.

Also check out the Least Common Multiple of 33982 and 33995