What is the Greatest Common Factor of 87791 and 87804?

Greatest common factor (GCF) of 87791 and 87804 is 1.

GCF(87791,87804) = 1

We will now calculate the prime factors of 87791 and 87804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87791 and 87804.

How to find the GCF of 87791 and 87804?

We will first find the prime factorization of 87791 and 87804. After we will calculate the factors of 87791 and 87804 and find the biggest common factor number .

Step-1: Prime Factorization of 87791

Prime factors of 87791 are 11, 23, 347. Prime factorization of 87791 in exponential form is:

87791 = 11¹ × 23¹ × 347¹

Step-2: 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-3: Factors of 87791

List of positive integer factors of 87791 that divides 87791 without a remainder.

1, 11, 23, 253, 347, 3817, 7981

Step-4: Factors of 87804

List of positive integer factors of 87804 that divides 87791 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87791 and 87804. The biggest common factor number is the GCF number.
So the greatest common factor 87791 and 87804 is 1.

Also check out the Least Common Multiple of 87791 and 87804