What is the Greatest Common Factor of 36336 and 36347?

Greatest common factor (GCF) of 36336 and 36347 is 1.

GCF(36336,36347) = 1

We will now calculate the prime factors of 36336 and 36347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36336 and 36347.

How to find the GCF of 36336 and 36347?

We will first find the prime factorization of 36336 and 36347. After we will calculate the factors of 36336 and 36347 and find the biggest common factor number .

Step-1: Prime Factorization of 36336

Prime factors of 36336 are 2, 3, 757. Prime factorization of 36336 in exponential form is:

36336 = 2⁴ × 3¹ × 757¹

Step-2: Prime Factorization of 36347

Prime factors of 36347 are 19, 1913. Prime factorization of 36347 in exponential form is:

36347 = 19¹ × 1913¹

Step-3: Factors of 36336

List of positive integer factors of 36336 that divides 36336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 757, 1514, 2271, 3028, 4542, 6056, 9084, 12112, 18168

Step-4: Factors of 36347

List of positive integer factors of 36347 that divides 36336 without a remainder.

1, 19, 1913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36336 and 36347. The biggest common factor number is the GCF number.
So the greatest common factor 36336 and 36347 is 1.

Also check out the Least Common Multiple of 36336 and 36347