What is the Greatest Common Factor of 36290 and 36295?

Greatest common factor (GCF) of 36290 and 36295 is 5.

GCF(36290,36295) = 5

We will now calculate the prime factors of 36290 and 36295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36290 and 36295.

How to find the GCF of 36290 and 36295?

We will first find the prime factorization of 36290 and 36295. After we will calculate the factors of 36290 and 36295 and find the biggest common factor number .

Step-1: Prime Factorization of 36290

Prime factors of 36290 are 2, 5, 19, 191. Prime factorization of 36290 in exponential form is:

36290 = 2¹ × 5¹ × 19¹ × 191¹

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 36290

List of positive integer factors of 36290 that divides 36290 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 191, 382, 955, 1910, 3629, 7258, 18145

Step-4: Factors of 36295

List of positive integer factors of 36295 that divides 36290 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 36290 and 36295. The biggest common factor number is the GCF number.
So the greatest common factor 36290 and 36295 is 5.

Also check out the Least Common Multiple of 36290 and 36295