What is the Greatest Common Factor of 37773 and 37782?

Greatest common factor (GCF) of 37773 and 37782 is 9.

GCF(37773,37782) = 9

We will now calculate the prime factors of 37773 and 37782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37773 and 37782.

How to find the GCF of 37773 and 37782?

We will first find the prime factorization of 37773 and 37782. After we will calculate the factors of 37773 and 37782 and find the biggest common factor number .

Step-1: Prime Factorization of 37773

Prime factors of 37773 are 3, 1399. Prime factorization of 37773 in exponential form is:

37773 = 3³ × 1399¹

Step-2: Prime Factorization of 37782

Prime factors of 37782 are 2, 3, 2099. Prime factorization of 37782 in exponential form is:

37782 = 2¹ × 3² × 2099¹

Step-3: Factors of 37773

List of positive integer factors of 37773 that divides 37773 without a remainder.

1, 3, 9, 27, 1399, 4197, 12591

Step-4: Factors of 37782

List of positive integer factors of 37782 that divides 37773 without a remainder.

1, 2, 3, 6, 9, 18, 2099, 4198, 6297, 12594, 18891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37773 and 37782. The biggest common factor number is the GCF number.
So the greatest common factor 37773 and 37782 is 9.

Also check out the Least Common Multiple of 37773 and 37782