What is the Greatest Common Factor of 36738 and 36747?

Greatest common factor (GCF) of 36738 and 36747 is 9.

GCF(36738,36747) = 9

We will now calculate the prime factors of 36738 and 36747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36738 and 36747.

How to find the GCF of 36738 and 36747?

We will first find the prime factorization of 36738 and 36747. After we will calculate the factors of 36738 and 36747 and find the biggest common factor number .

Step-1: Prime Factorization of 36738

Prime factors of 36738 are 2, 3, 13, 157. Prime factorization of 36738 in exponential form is:

36738 = 2¹ × 3² × 13¹ × 157¹

Step-2: Prime Factorization of 36747

Prime factors of 36747 are 3, 1361. Prime factorization of 36747 in exponential form is:

36747 = 3³ × 1361¹

Step-3: Factors of 36738

List of positive integer factors of 36738 that divides 36738 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 157, 234, 314, 471, 942, 1413, 2041, 2826, 4082, 6123, 12246, 18369

Step-4: Factors of 36747

List of positive integer factors of 36747 that divides 36738 without a remainder.

1, 3, 9, 27, 1361, 4083, 12249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36738 and 36747. The biggest common factor number is the GCF number.
So the greatest common factor 36738 and 36747 is 9.

Also check out the Least Common Multiple of 36738 and 36747