What is the Greatest Common Factor of 36305 and 36322?

Greatest common factor (GCF) of 36305 and 36322 is 1.

GCF(36305,36322) = 1

We will now calculate the prime factors of 36305 and 36322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36305 and 36322.

How to find the GCF of 36305 and 36322?

We will first find the prime factorization of 36305 and 36322. After we will calculate the factors of 36305 and 36322 and find the biggest common factor number .

Step-1: Prime Factorization of 36305

Prime factors of 36305 are 5, 53, 137. Prime factorization of 36305 in exponential form is:

36305 = 5¹ × 53¹ × 137¹

Step-2: Prime Factorization of 36322

Prime factors of 36322 are 2, 11, 13, 127. Prime factorization of 36322 in exponential form is:

36322 = 2¹ × 11¹ × 13¹ × 127¹

Step-3: Factors of 36305

List of positive integer factors of 36305 that divides 36305 without a remainder.

1, 5, 53, 137, 265, 685, 7261

Step-4: Factors of 36322

List of positive integer factors of 36322 that divides 36305 without a remainder.

1, 2, 11, 13, 22, 26, 127, 143, 254, 286, 1397, 1651, 2794, 3302, 18161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36305 and 36322. The biggest common factor number is the GCF number.
So the greatest common factor 36305 and 36322 is 1.

Also check out the Least Common Multiple of 36305 and 36322