What is the Greatest Common Factor of 36295 and 36309?

Greatest common factor (GCF) of 36295 and 36309 is 7.

GCF(36295,36309) = 7

We will now calculate the prime factors of 36295 and 36309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36295 and 36309.

How to find the GCF of 36295 and 36309?

We will first find the prime factorization of 36295 and 36309. After we will calculate the factors of 36295 and 36309 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36309

Prime factors of 36309 are 3, 7, 13, 19. Prime factorization of 36309 in exponential form is:

36309 = 3¹ × 7² × 13¹ × 19¹

Step-3: Factors of 36295

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

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

Step-4: Factors of 36309

List of positive integer factors of 36309 that divides 36295 without a remainder.

1, 3, 7, 13, 19, 21, 39, 49, 57, 91, 133, 147, 247, 273, 399, 637, 741, 931, 1729, 1911, 2793, 5187, 12103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36295 and 36309. The biggest common factor number is the GCF number.
So the greatest common factor 36295 and 36309 is 7.

Also check out the Least Common Multiple of 36295 and 36309