What is the Greatest Common Factor of 18088 and 18104?

Greatest common factor (GCF) of 18088 and 18104 is 8.

GCF(18088,18104) = 8

We will now calculate the prime factors of 18088 and 18104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18088 and 18104.

How to find the GCF of 18088 and 18104?

We will first find the prime factorization of 18088 and 18104. After we will calculate the factors of 18088 and 18104 and find the biggest common factor number .

Step-1: Prime Factorization of 18088

Prime factors of 18088 are 2, 7, 17, 19. Prime factorization of 18088 in exponential form is:

18088 = 2³ × 7¹ × 17¹ × 19¹

Step-2: Prime Factorization of 18104

Prime factors of 18104 are 2, 31, 73. Prime factorization of 18104 in exponential form is:

18104 = 2³ × 31¹ × 73¹

Step-3: Factors of 18088

List of positive integer factors of 18088 that divides 18088 without a remainder.

1, 2, 4, 7, 8, 14, 17, 19, 28, 34, 38, 56, 68, 76, 119, 133, 136, 152, 238, 266, 323, 476, 532, 646, 952, 1064, 1292, 2261, 2584, 4522, 9044

Step-4: Factors of 18104

List of positive integer factors of 18104 that divides 18088 without a remainder.

1, 2, 4, 8, 31, 62, 73, 124, 146, 248, 292, 584, 2263, 4526, 9052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18088 and 18104. The biggest common factor number is the GCF number.
So the greatest common factor 18088 and 18104 is 8.

Also check out the Least Common Multiple of 18088 and 18104