What is the Greatest Common Factor of 87804 and 87818?

Greatest common factor (GCF) of 87804 and 87818 is 2.

GCF(87804,87818) = 2

We will now calculate the prime factors of 87804 and 87818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87804 and 87818.

How to find the GCF of 87804 and 87818?

We will first find the prime factorization of 87804 and 87818. After we will calculate the factors of 87804 and 87818 and find the biggest common factor number .

Step-1: Prime Factorization of 87804

Prime factors of 87804 are 2, 3, 271. Prime factorization of 87804 in exponential form is:

87804 = 2² × 3⁴ × 271¹

Step-2: Prime Factorization of 87818

Prime factors of 87818 are 2, 19, 2311. Prime factorization of 87818 in exponential form is:

87818 = 2¹ × 19¹ × 2311¹

Step-3: Factors of 87804

List of positive integer factors of 87804 that divides 87804 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 271, 324, 542, 813, 1084, 1626, 2439, 3252, 4878, 7317, 9756, 14634, 21951, 29268, 43902

Step-4: Factors of 87818

List of positive integer factors of 87818 that divides 87804 without a remainder.

1, 2, 19, 38, 2311, 4622, 43909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87804 and 87818. The biggest common factor number is the GCF number.
So the greatest common factor 87804 and 87818 is 2.

Also check out the Least Common Multiple of 87804 and 87818