What is the Greatest Common Factor of 36278 and 36284?

Greatest common factor (GCF) of 36278 and 36284 is 2.

GCF(36278,36284) = 2

We will now calculate the prime factors of 36278 and 36284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36278 and 36284.

How to find the GCF of 36278 and 36284?

We will first find the prime factorization of 36278 and 36284. After we will calculate the factors of 36278 and 36284 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 36284

Prime factors of 36284 are 2, 47, 193. Prime factorization of 36284 in exponential form is:

36284 = 2² × 47¹ × 193¹

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 36284

List of positive integer factors of 36284 that divides 36278 without a remainder.

1, 2, 4, 47, 94, 188, 193, 386, 772, 9071, 18142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36278 and 36284. The biggest common factor number is the GCF number.
So the greatest common factor 36278 and 36284 is 2.

Also check out the Least Common Multiple of 36278 and 36284