What is the Greatest Common Factor of 36415 and 36435?

Greatest common factor (GCF) of 36415 and 36435 is 5.

GCF(36415,36435) = 5

We will now calculate the prime factors of 36415 and 36435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36415 and 36435.

How to find the GCF of 36415 and 36435?

We will first find the prime factorization of 36415 and 36435. After we will calculate the factors of 36415 and 36435 and find the biggest common factor number .

Step-1: Prime Factorization of 36415

Prime factors of 36415 are 5, 7283. Prime factorization of 36415 in exponential form is:

36415 = 5¹ × 7283¹

Step-2: 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-3: Factors of 36415

List of positive integer factors of 36415 that divides 36415 without a remainder.

1, 5, 7283

Step-4: Factors of 36435

List of positive integer factors of 36435 that divides 36415 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36415 and 36435. The biggest common factor number is the GCF number.
So the greatest common factor 36415 and 36435 is 5.

Also check out the Least Common Multiple of 36415 and 36435