What is the Greatest Common Factor of 37846 and 37864?

Greatest common factor (GCF) of 37846 and 37864 is 2.

GCF(37846,37864) = 2

We will now calculate the prime factors of 37846 and 37864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37846 and 37864.

How to find the GCF of 37846 and 37864?

We will first find the prime factorization of 37846 and 37864. After we will calculate the factors of 37846 and 37864 and find the biggest common factor number .

Step-1: Prime Factorization of 37846

Prime factors of 37846 are 2, 127, 149. Prime factorization of 37846 in exponential form is:

37846 = 2¹ × 127¹ × 149¹

Step-2: Prime Factorization of 37864

Prime factors of 37864 are 2, 4733. Prime factorization of 37864 in exponential form is:

37864 = 2³ × 4733¹

Step-3: Factors of 37846

List of positive integer factors of 37846 that divides 37846 without a remainder.

1, 2, 127, 149, 254, 298, 18923

Step-4: Factors of 37864

List of positive integer factors of 37864 that divides 37846 without a remainder.

1, 2, 4, 8, 4733, 9466, 18932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37846 and 37864. The biggest common factor number is the GCF number.
So the greatest common factor 37846 and 37864 is 2.

Also check out the Least Common Multiple of 37846 and 37864