What is the Greatest Common Factor of 36435 and 36445?

Greatest common factor (GCF) of 36435 and 36445 is 5.

GCF(36435,36445) = 5

We will now calculate the prime factors of 36435 and 36445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36435 and 36445.

How to find the GCF of 36435 and 36445?

We will first find the prime factorization of 36435 and 36445. After we will calculate the factors of 36435 and 36445 and find the biggest common factor number .

Step-1: Prime Factorization of 36435

Prime factors of 36435 are 3, 5, 7, 347. Prime factorization of 36435 in exponential form is:

36435 = 3¹ × 5¹ × 7¹ × 347¹

Step-2: 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-3: Factors of 36435

List of positive integer factors of 36435 that divides 36435 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 347, 1041, 1735, 2429, 5205, 7287, 12145

Step-4: Factors of 36445

List of positive integer factors of 36445 that divides 36435 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36435 and 36445. The biggest common factor number is the GCF number.
So the greatest common factor 36435 and 36445 is 5.

Also check out the Least Common Multiple of 36435 and 36445