What is the Greatest Common Factor of 36927 and 36938?

Greatest common factor (GCF) of 36927 and 36938 is 11.

GCF(36927,36938) = 11

We will now calculate the prime factors of 36927 and 36938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36927 and 36938.

How to find the GCF of 36927 and 36938?

We will first find the prime factorization of 36927 and 36938. After we will calculate the factors of 36927 and 36938 and find the biggest common factor number .

Step-1: Prime Factorization of 36927

Prime factors of 36927 are 3, 11, 373. Prime factorization of 36927 in exponential form is:

36927 = 3² × 11¹ × 373¹

Step-2: Prime Factorization of 36938

Prime factors of 36938 are 2, 11, 23, 73. Prime factorization of 36938 in exponential form is:

36938 = 2¹ × 11¹ × 23¹ × 73¹

Step-3: Factors of 36927

List of positive integer factors of 36927 that divides 36927 without a remainder.

1, 3, 9, 11, 33, 99, 373, 1119, 3357, 4103, 12309

Step-4: Factors of 36938

List of positive integer factors of 36938 that divides 36927 without a remainder.

1, 2, 11, 22, 23, 46, 73, 146, 253, 506, 803, 1606, 1679, 3358, 18469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36927 and 36938. The biggest common factor number is the GCF number.
So the greatest common factor 36927 and 36938 is 11.

Also check out the Least Common Multiple of 36927 and 36938