What is the Greatest Common Factor of 33981 and 33987?

Greatest common factor (GCF) of 33981 and 33987 is 3.

GCF(33981,33987) = 3

We will now calculate the prime factors of 33981 and 33987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33981 and 33987.

How to find the GCF of 33981 and 33987?

We will first find the prime factorization of 33981 and 33987. After we will calculate the factors of 33981 and 33987 and find the biggest common factor number .

Step-1: Prime Factorization of 33981

Prime factors of 33981 are 3, 47, 241. Prime factorization of 33981 in exponential form is:

33981 = 3¹ × 47¹ × 241¹

Step-2: Prime Factorization of 33987

Prime factors of 33987 are 3, 11329. Prime factorization of 33987 in exponential form is:

33987 = 3¹ × 11329¹

Step-3: Factors of 33981

List of positive integer factors of 33981 that divides 33981 without a remainder.

1, 3, 47, 141, 241, 723, 11327

Step-4: Factors of 33987

List of positive integer factors of 33987 that divides 33981 without a remainder.

1, 3, 11329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33981 and 33987. The biggest common factor number is the GCF number.
So the greatest common factor 33981 and 33987 is 3.

Also check out the Least Common Multiple of 33981 and 33987