What is the Greatest Common Factor of 36762 and 36773?

Greatest common factor (GCF) of 36762 and 36773 is 11.

GCF(36762,36773) = 11

We will now calculate the prime factors of 36762 and 36773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36762 and 36773.

How to find the GCF of 36762 and 36773?

We will first find the prime factorization of 36762 and 36773. After we will calculate the factors of 36762 and 36773 and find the biggest common factor number .

Step-1: Prime Factorization of 36762

Prime factors of 36762 are 2, 3, 11, 557. Prime factorization of 36762 in exponential form is:

36762 = 2¹ × 3¹ × 11¹ × 557¹

Step-2: Prime Factorization of 36773

Prime factors of 36773 are 11, 3343. Prime factorization of 36773 in exponential form is:

36773 = 11¹ × 3343¹

Step-3: Factors of 36762

List of positive integer factors of 36762 that divides 36762 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 557, 1114, 1671, 3342, 6127, 12254, 18381

Step-4: Factors of 36773

List of positive integer factors of 36773 that divides 36762 without a remainder.

1, 11, 3343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36762 and 36773. The biggest common factor number is the GCF number.
So the greatest common factor 36762 and 36773 is 11.

Also check out the Least Common Multiple of 36762 and 36773