What is the Greatest Common Factor of 87837 and 87855?

Greatest common factor (GCF) of 87837 and 87855 is 3.

GCF(87837,87855) = 3

We will now calculate the prime factors of 87837 and 87855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87837 and 87855.

How to find the GCF of 87837 and 87855?

We will first find the prime factorization of 87837 and 87855. After we will calculate the factors of 87837 and 87855 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87855

Prime factors of 87855 are 3, 5, 5857. Prime factorization of 87855 in exponential form is:

87855 = 3¹ × 5¹ × 5857¹

Step-3: Factors of 87837

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

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

Step-4: Factors of 87855

List of positive integer factors of 87855 that divides 87837 without a remainder.

1, 3, 5, 15, 5857, 17571, 29285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87837 and 87855. The biggest common factor number is the GCF number.
So the greatest common factor 87837 and 87855 is 3.

Also check out the Least Common Multiple of 87837 and 87855