What is the Greatest Common Factor of 36445 and 36465?

Greatest common factor (GCF) of 36445 and 36465 is 5.

GCF(36445,36465) = 5

We will now calculate the prime factors of 36445 and 36465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36445 and 36465.

How to find the GCF of 36445 and 36465?

We will first find the prime factorization of 36445 and 36465. After we will calculate the factors of 36445 and 36465 and find the biggest common factor number .

Step-1: Prime Factorization of 36445

Prime factors of 36445 are 5, 37, 197. Prime factorization of 36445 in exponential form is:

36445 = 5¹ × 37¹ × 197¹

Step-2: Prime Factorization of 36465

Prime factors of 36465 are 3, 5, 11, 13, 17. Prime factorization of 36465 in exponential form is:

36465 = 3¹ × 5¹ × 11¹ × 13¹ × 17¹

Step-3: Factors of 36445

List of positive integer factors of 36445 that divides 36445 without a remainder.

1, 5, 37, 185, 197, 985, 7289

Step-4: Factors of 36465

List of positive integer factors of 36465 that divides 36445 without a remainder.

1, 3, 5, 11, 13, 15, 17, 33, 39, 51, 55, 65, 85, 143, 165, 187, 195, 221, 255, 429, 561, 663, 715, 935, 1105, 2145, 2431, 2805, 3315, 7293, 12155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36445 and 36465. The biggest common factor number is the GCF number.
So the greatest common factor 36445 and 36465 is 5.

Also check out the Least Common Multiple of 36445 and 36465