What is the Greatest Common Factor of 37686 and 37697?

Greatest common factor (GCF) of 37686 and 37697 is 11.

GCF(37686,37697) = 11

We will now calculate the prime factors of 37686 and 37697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37686 and 37697.

How to find the GCF of 37686 and 37697?

We will first find the prime factorization of 37686 and 37697. After we will calculate the factors of 37686 and 37697 and find the biggest common factor number .

Step-1: Prime Factorization of 37686

Prime factors of 37686 are 2, 3, 11, 571. Prime factorization of 37686 in exponential form is:

37686 = 2¹ × 3¹ × 11¹ × 571¹

Step-2: Prime Factorization of 37697

Prime factors of 37697 are 11, 23, 149. Prime factorization of 37697 in exponential form is:

37697 = 11¹ × 23¹ × 149¹

Step-3: Factors of 37686

List of positive integer factors of 37686 that divides 37686 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 571, 1142, 1713, 3426, 6281, 12562, 18843

Step-4: Factors of 37697

List of positive integer factors of 37697 that divides 37686 without a remainder.

1, 11, 23, 149, 253, 1639, 3427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37686 and 37697. The biggest common factor number is the GCF number.
So the greatest common factor 37686 and 37697 is 11.

Also check out the Least Common Multiple of 37686 and 37697