What is the Greatest Common Factor of 36261 and 36278?

Greatest common factor (GCF) of 36261 and 36278 is 17.

GCF(36261,36278) = 17

We will now calculate the prime factors of 36261 and 36278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36261 and 36278.

How to find the GCF of 36261 and 36278?

We will first find the prime factorization of 36261 and 36278. After we will calculate the factors of 36261 and 36278 and find the biggest common factor number .

Step-1: Prime Factorization of 36261

Prime factors of 36261 are 3, 17, 79. Prime factorization of 36261 in exponential form is:

36261 = 3³ × 17¹ × 79¹

Step-2: Prime Factorization of 36278

Prime factors of 36278 are 2, 11, 17, 97. Prime factorization of 36278 in exponential form is:

36278 = 2¹ × 11¹ × 17¹ × 97¹

Step-3: Factors of 36261

List of positive integer factors of 36261 that divides 36261 without a remainder.

1, 3, 9, 17, 27, 51, 79, 153, 237, 459, 711, 1343, 2133, 4029, 12087

Step-4: Factors of 36278

List of positive integer factors of 36278 that divides 36261 without a remainder.

1, 2, 11, 17, 22, 34, 97, 187, 194, 374, 1067, 1649, 2134, 3298, 18139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36261 and 36278. The biggest common factor number is the GCF number.
So the greatest common factor 36261 and 36278 is 17.

Also check out the Least Common Multiple of 36261 and 36278