What is the Greatest Common Factor of 36278 and 36295?

Greatest common factor (GCF) of 36278 and 36295 is 17.

GCF(36278,36295) = 17

We will now calculate the prime factors of 36278 and 36295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36278 and 36295.

How to find the GCF of 36278 and 36295?

We will first find the prime factorization of 36278 and 36295. After we will calculate the factors of 36278 and 36295 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 36295

Prime factors of 36295 are 5, 7, 17, 61. Prime factorization of 36295 in exponential form is:

36295 = 5¹ × 7¹ × 17¹ × 61¹

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 36295

List of positive integer factors of 36295 that divides 36278 without a remainder.

1, 5, 7, 17, 35, 61, 85, 119, 305, 427, 595, 1037, 2135, 5185, 7259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36278 and 36295. The biggest common factor number is the GCF number.
So the greatest common factor 36278 and 36295 is 17.

Also check out the Least Common Multiple of 36278 and 36295