What is the Greatest Common Factor of 31884 and 31899?

Greatest common factor (GCF) of 31884 and 31899 is 3.

GCF(31884,31899) = 3

We will now calculate the prime factors of 31884 and 31899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31884 and 31899.

How to find the GCF of 31884 and 31899?

We will first find the prime factorization of 31884 and 31899. After we will calculate the factors of 31884 and 31899 and find the biggest common factor number .

Step-1: Prime Factorization of 31884

Prime factors of 31884 are 2, 3, 2657. Prime factorization of 31884 in exponential form is:

31884 = 2² × 3¹ × 2657¹

Step-2: Prime Factorization of 31899

Prime factors of 31899 are 3, 7, 31. Prime factorization of 31899 in exponential form is:

31899 = 3¹ × 7³ × 31¹

Step-3: Factors of 31884

List of positive integer factors of 31884 that divides 31884 without a remainder.

1, 2, 3, 4, 6, 12, 2657, 5314, 7971, 10628, 15942

Step-4: Factors of 31899

List of positive integer factors of 31899 that divides 31884 without a remainder.

1, 3, 7, 21, 31, 49, 93, 147, 217, 343, 651, 1029, 1519, 4557, 10633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31884 and 31899. The biggest common factor number is the GCF number.
So the greatest common factor 31884 and 31899 is 3.

Also check out the Least Common Multiple of 31884 and 31899