What is the Greatest Common Factor of 37792 and 37810?

Greatest common factor (GCF) of 37792 and 37810 is 2.

GCF(37792,37810) = 2

We will now calculate the prime factors of 37792 and 37810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37792 and 37810.

How to find the GCF of 37792 and 37810?

We will first find the prime factorization of 37792 and 37810. After we will calculate the factors of 37792 and 37810 and find the biggest common factor number .

Step-1: Prime Factorization of 37792

Prime factors of 37792 are 2, 1181. Prime factorization of 37792 in exponential form is:

37792 = 2⁵ × 1181¹

Step-2: Prime Factorization of 37810

Prime factors of 37810 are 2, 5, 19, 199. Prime factorization of 37810 in exponential form is:

37810 = 2¹ × 5¹ × 19¹ × 199¹

Step-3: Factors of 37792

List of positive integer factors of 37792 that divides 37792 without a remainder.

1, 2, 4, 8, 16, 32, 1181, 2362, 4724, 9448, 18896

Step-4: Factors of 37810

List of positive integer factors of 37810 that divides 37792 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 199, 398, 995, 1990, 3781, 7562, 18905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37792 and 37810. The biggest common factor number is the GCF number.
So the greatest common factor 37792 and 37810 is 2.

Also check out the Least Common Multiple of 37792 and 37810