What is the Greatest Common Factor of 37078 and 37096?

Greatest common factor (GCF) of 37078 and 37096 is 2.

GCF(37078,37096) = 2

We will now calculate the prime factors of 37078 and 37096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37078 and 37096.

How to find the GCF of 37078 and 37096?

We will first find the prime factorization of 37078 and 37096. After we will calculate the factors of 37078 and 37096 and find the biggest common factor number .

Step-1: Prime Factorization of 37078

Prime factors of 37078 are 2, 18539. Prime factorization of 37078 in exponential form is:

37078 = 2¹ × 18539¹

Step-2: Prime Factorization of 37096

Prime factors of 37096 are 2, 4637. Prime factorization of 37096 in exponential form is:

37096 = 2³ × 4637¹

Step-3: Factors of 37078

List of positive integer factors of 37078 that divides 37078 without a remainder.

1, 2, 18539

Step-4: Factors of 37096

List of positive integer factors of 37096 that divides 37078 without a remainder.

1, 2, 4, 8, 4637, 9274, 18548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37078 and 37096. The biggest common factor number is the GCF number.
So the greatest common factor 37078 and 37096 is 2.

Also check out the Least Common Multiple of 37078 and 37096