What is the Greatest Common Factor of 36729 and 36738?

Greatest common factor (GCF) of 36729 and 36738 is 9.

GCF(36729,36738) = 9

We will now calculate the prime factors of 36729 and 36738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36729 and 36738.

How to find the GCF of 36729 and 36738?

We will first find the prime factorization of 36729 and 36738. After we will calculate the factors of 36729 and 36738 and find the biggest common factor number .

Step-1: Prime Factorization of 36729

Prime factors of 36729 are 3, 7, 11, 53. Prime factorization of 36729 in exponential form is:

36729 = 3² × 7¹ × 11¹ × 53¹

Step-2: 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-3: Factors of 36729

List of positive integer factors of 36729 that divides 36729 without a remainder.

1, 3, 7, 9, 11, 21, 33, 53, 63, 77, 99, 159, 231, 371, 477, 583, 693, 1113, 1749, 3339, 4081, 5247, 12243

Step-4: Factors of 36738

List of positive integer factors of 36738 that divides 36729 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36729 and 36738. The biggest common factor number is the GCF number.
So the greatest common factor 36729 and 36738 is 9.

Also check out the Least Common Multiple of 36729 and 36738