What is the Greatest Common Factor of 33988 and 33997?

Greatest common factor (GCF) of 33988 and 33997 is 1.

GCF(33988,33997) = 1

We will now calculate the prime factors of 33988 and 33997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33988 and 33997.

How to find the GCF of 33988 and 33997?

We will first find the prime factorization of 33988 and 33997. After we will calculate the factors of 33988 and 33997 and find the biggest common factor number .

Step-1: Prime Factorization of 33988

Prime factors of 33988 are 2, 29, 293. Prime factorization of 33988 in exponential form is:

33988 = 2² × 29¹ × 293¹

Step-2: Prime Factorization of 33997

Prime factors of 33997 are 33997. Prime factorization of 33997 in exponential form is:

33997 = 33997¹

Step-3: Factors of 33988

List of positive integer factors of 33988 that divides 33988 without a remainder.

1, 2, 4, 29, 58, 116, 293, 586, 1172, 8497, 16994

Step-4: Factors of 33997

List of positive integer factors of 33997 that divides 33988 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33988 and 33997. The biggest common factor number is the GCF number.
So the greatest common factor 33988 and 33997 is 1.

Also check out the Least Common Multiple of 33988 and 33997