What is the Greatest Common Factor of 37966 and 37976?

Greatest common factor (GCF) of 37966 and 37976 is 2.

GCF(37966,37976) = 2

We will now calculate the prime factors of 37966 and 37976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37966 and 37976.

How to find the GCF of 37966 and 37976?

We will first find the prime factorization of 37966 and 37976. After we will calculate the factors of 37966 and 37976 and find the biggest common factor number .

Step-1: Prime Factorization of 37966

Prime factors of 37966 are 2, 41, 463. Prime factorization of 37966 in exponential form is:

37966 = 2¹ × 41¹ × 463¹

Step-2: Prime Factorization of 37976

Prime factors of 37976 are 2, 47, 101. Prime factorization of 37976 in exponential form is:

37976 = 2³ × 47¹ × 101¹

Step-3: Factors of 37966

List of positive integer factors of 37966 that divides 37966 without a remainder.

1, 2, 41, 82, 463, 926, 18983

Step-4: Factors of 37976

List of positive integer factors of 37976 that divides 37966 without a remainder.

1, 2, 4, 8, 47, 94, 101, 188, 202, 376, 404, 808, 4747, 9494, 18988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37966 and 37976. The biggest common factor number is the GCF number.
So the greatest common factor 37966 and 37976 is 2.

Also check out the Least Common Multiple of 37966 and 37976