What is the Greatest Common Factor of 36729 and 36746?

Greatest common factor (GCF) of 36729 and 36746 is 1.

GCF(36729,36746) = 1

We will now calculate the prime factors of 36729 and 36746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36729 and 36746.

How to find the GCF of 36729 and 36746?

We will first find the prime factorization of 36729 and 36746. After we will calculate the factors of 36729 and 36746 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 36746

Prime factors of 36746 are 2, 19, 967. Prime factorization of 36746 in exponential form is:

36746 = 2¹ × 19¹ × 967¹

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 36746

List of positive integer factors of 36746 that divides 36729 without a remainder.

1, 2, 19, 38, 967, 1934, 18373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36729 and 36746. The biggest common factor number is the GCF number.
So the greatest common factor 36729 and 36746 is 1.

Also check out the Least Common Multiple of 36729 and 36746