What is the Greatest Common Factor of 87831 and 87837?

Greatest common factor (GCF) of 87831 and 87837 is 3.

GCF(87831,87837) = 3

We will now calculate the prime factors of 87831 and 87837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87831 and 87837.

How to find the GCF of 87831 and 87837?

We will first find the prime factorization of 87831 and 87837. After we will calculate the factors of 87831 and 87837 and find the biggest common factor number .

Step-1: Prime Factorization of 87831

Prime factors of 87831 are 3, 3253. Prime factorization of 87831 in exponential form is:

87831 = 3³ × 3253¹

Step-2: Prime Factorization of 87837

Prime factors of 87837 are 3, 19, 23, 67. Prime factorization of 87837 in exponential form is:

87837 = 3¹ × 19¹ × 23¹ × 67¹

Step-3: Factors of 87831

List of positive integer factors of 87831 that divides 87831 without a remainder.

1, 3, 9, 27, 3253, 9759, 29277

Step-4: Factors of 87837

List of positive integer factors of 87837 that divides 87831 without a remainder.

1, 3, 19, 23, 57, 67, 69, 201, 437, 1273, 1311, 1541, 3819, 4623, 29279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87831 and 87837. The biggest common factor number is the GCF number.
So the greatest common factor 87831 and 87837 is 3.

Also check out the Least Common Multiple of 87831 and 87837