What is the Greatest Common Factor of 18086 and 18102?

Greatest common factor (GCF) of 18086 and 18102 is 2.

GCF(18086,18102) = 2

We will now calculate the prime factors of 18086 and 18102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18086 and 18102.

How to find the GCF of 18086 and 18102?

We will first find the prime factorization of 18086 and 18102. After we will calculate the factors of 18086 and 18102 and find the biggest common factor number .

Step-1: Prime Factorization of 18086

Prime factors of 18086 are 2, 9043. Prime factorization of 18086 in exponential form is:

18086 = 2¹ × 9043¹

Step-2: Prime Factorization of 18102

Prime factors of 18102 are 2, 3, 7, 431. Prime factorization of 18102 in exponential form is:

18102 = 2¹ × 3¹ × 7¹ × 431¹

Step-3: Factors of 18086

List of positive integer factors of 18086 that divides 18086 without a remainder.

1, 2, 9043

Step-4: Factors of 18102

List of positive integer factors of 18102 that divides 18086 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 431, 862, 1293, 2586, 3017, 6034, 9051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18086 and 18102. The biggest common factor number is the GCF number.
So the greatest common factor 18086 and 18102 is 2.

Also check out the Least Common Multiple of 18086 and 18102