What is the Greatest Common Factor of 33988 and 33996?

Greatest common factor (GCF) of 33988 and 33996 is 4.

GCF(33988,33996) = 4

We will now calculate the prime factors of 33988 and 33996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33988 and 33996.

How to find the GCF of 33988 and 33996?

We will first find the prime factorization of 33988 and 33996. After we will calculate the factors of 33988 and 33996 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 33996

Prime factors of 33996 are 2, 3, 2833. Prime factorization of 33996 in exponential form is:

33996 = 2² × 3¹ × 2833¹

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 33996

List of positive integer factors of 33996 that divides 33988 without a remainder.

1, 2, 3, 4, 6, 12, 2833, 5666, 8499, 11332, 16998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33988 and 33996. The biggest common factor number is the GCF number.
So the greatest common factor 33988 and 33996 is 4.

Also check out the Least Common Multiple of 33988 and 33996