What is the Greatest Common Factor of 87804 and 87823?

Greatest common factor (GCF) of 87804 and 87823 is 1.

GCF(87804,87823) = 1

We will now calculate the prime factors of 87804 and 87823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87804 and 87823.

How to find the GCF of 87804 and 87823?

We will first find the prime factorization of 87804 and 87823. After we will calculate the factors of 87804 and 87823 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 87823

Prime factors of 87823 are 31, 2833. Prime factorization of 87823 in exponential form is:

87823 = 31¹ × 2833¹

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 87823

List of positive integer factors of 87823 that divides 87804 without a remainder.

1, 31, 2833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87804 and 87823. The biggest common factor number is the GCF number.
So the greatest common factor 87804 and 87823 is 1.

Also check out the Least Common Multiple of 87804 and 87823