What is the Greatest Common Factor of 36278 and 36289?

Greatest common factor (GCF) of 36278 and 36289 is 11.

GCF(36278,36289) = 11

We will now calculate the prime factors of 36278 and 36289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36278 and 36289.

How to find the GCF of 36278 and 36289?

We will first find the prime factorization of 36278 and 36289. After we will calculate the factors of 36278 and 36289 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36289

Prime factors of 36289 are 11, 3299. Prime factorization of 36289 in exponential form is:

36289 = 11¹ × 3299¹

Step-3: Factors of 36278

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

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

Step-4: Factors of 36289

List of positive integer factors of 36289 that divides 36278 without a remainder.

1, 11, 3299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36278 and 36289. The biggest common factor number is the GCF number.
So the greatest common factor 36278 and 36289 is 11.

Also check out the Least Common Multiple of 36278 and 36289