What is the Greatest Common Factor of 18462 and 18479?

Greatest common factor (GCF) of 18462 and 18479 is 17.

GCF(18462,18479) = 17

We will now calculate the prime factors of 18462 and 18479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18462 and 18479.

How to find the GCF of 18462 and 18479?

We will first find the prime factorization of 18462 and 18479. After we will calculate the factors of 18462 and 18479 and find the biggest common factor number .

Step-1: Prime Factorization of 18462

Prime factors of 18462 are 2, 3, 17, 181. Prime factorization of 18462 in exponential form is:

18462 = 2¹ × 3¹ × 17¹ × 181¹

Step-2: Prime Factorization of 18479

Prime factors of 18479 are 17, 1087. Prime factorization of 18479 in exponential form is:

18479 = 17¹ × 1087¹

Step-3: Factors of 18462

List of positive integer factors of 18462 that divides 18462 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 181, 362, 543, 1086, 3077, 6154, 9231

Step-4: Factors of 18479

List of positive integer factors of 18479 that divides 18462 without a remainder.

1, 17, 1087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18462 and 18479. The biggest common factor number is the GCF number.
So the greatest common factor 18462 and 18479 is 17.

Also check out the Least Common Multiple of 18462 and 18479