What is the Greatest Common Factor of 35998 and 36018?

Greatest common factor (GCF) of 35998 and 36018 is 2.

GCF(35998,36018) = 2

We will now calculate the prime factors of 35998 and 36018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35998 and 36018.

How to find the GCF of 35998 and 36018?

We will first find the prime factorization of 35998 and 36018. After we will calculate the factors of 35998 and 36018 and find the biggest common factor number .

Step-1: Prime Factorization of 35998

Prime factors of 35998 are 2, 41, 439. Prime factorization of 35998 in exponential form is:

35998 = 2¹ × 41¹ × 439¹

Step-2: Prime Factorization of 36018

Prime factors of 36018 are 2, 3, 23, 29. Prime factorization of 36018 in exponential form is:

36018 = 2¹ × 3³ × 23¹ × 29¹

Step-3: Factors of 35998

List of positive integer factors of 35998 that divides 35998 without a remainder.

1, 2, 41, 82, 439, 878, 17999

Step-4: Factors of 36018

List of positive integer factors of 36018 that divides 35998 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 29, 46, 54, 58, 69, 87, 138, 174, 207, 261, 414, 522, 621, 667, 783, 1242, 1334, 1566, 2001, 4002, 6003, 12006, 18009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35998 and 36018. The biggest common factor number is the GCF number.
So the greatest common factor 35998 and 36018 is 2.

Also check out the Least Common Multiple of 35998 and 36018