What is the Greatest Common Factor of 37764 and 37782?

Greatest common factor (GCF) of 37764 and 37782 is 18.

GCF(37764,37782) = 18

We will now calculate the prime factors of 37764 and 37782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37764 and 37782.

How to find the GCF of 37764 and 37782?

We will first find the prime factorization of 37764 and 37782. After we will calculate the factors of 37764 and 37782 and find the biggest common factor number .

Step-1: Prime Factorization of 37764

Prime factors of 37764 are 2, 3, 1049. Prime factorization of 37764 in exponential form is:

37764 = 2² × 3² × 1049¹

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 37764

List of positive integer factors of 37764 that divides 37764 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1049, 2098, 3147, 4196, 6294, 9441, 12588, 18882

Step-4: Factors of 37782

List of positive integer factors of 37782 that divides 37764 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 37764 and 37782. The biggest common factor number is the GCF number.
So the greatest common factor 37764 and 37782 is 18.

Also check out the Least Common Multiple of 37764 and 37782