What is the Greatest Common Factor of 37983 and 37998?

Greatest common factor (GCF) of 37983 and 37998 is 3.

GCF(37983,37998) = 3

We will now calculate the prime factors of 37983 and 37998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37983 and 37998.

How to find the GCF of 37983 and 37998?

We will first find the prime factorization of 37983 and 37998. After we will calculate the factors of 37983 and 37998 and find the biggest common factor number .

Step-1: Prime Factorization of 37983

Prime factors of 37983 are 3, 11, 1151. Prime factorization of 37983 in exponential form is:

37983 = 3¹ × 11¹ × 1151¹

Step-2: Prime Factorization of 37998

Prime factors of 37998 are 2, 3, 2111. Prime factorization of 37998 in exponential form is:

37998 = 2¹ × 3² × 2111¹

Step-3: Factors of 37983

List of positive integer factors of 37983 that divides 37983 without a remainder.

1, 3, 11, 33, 1151, 3453, 12661

Step-4: Factors of 37998

List of positive integer factors of 37998 that divides 37983 without a remainder.

1, 2, 3, 6, 9, 18, 2111, 4222, 6333, 12666, 18999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37983 and 37998. The biggest common factor number is the GCF number.
So the greatest common factor 37983 and 37998 is 3.

Also check out the Least Common Multiple of 37983 and 37998