What is the Greatest Common Factor of 37792 and 37801?

Greatest common factor (GCF) of 37792 and 37801 is 1.

GCF(37792,37801) = 1

We will now calculate the prime factors of 37792 and 37801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37792 and 37801.

How to find the GCF of 37792 and 37801?

We will first find the prime factorization of 37792 and 37801. After we will calculate the factors of 37792 and 37801 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 37801

Prime factors of 37801 are 103, 367. Prime factorization of 37801 in exponential form is:

37801 = 103¹ × 367¹

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 37801

List of positive integer factors of 37801 that divides 37792 without a remainder.

1, 103, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37792 and 37801. The biggest common factor number is the GCF number.
So the greatest common factor 37792 and 37801 is 1.

Also check out the Least Common Multiple of 37792 and 37801