What is the Greatest Common Factor of 37966 and 37972?

Greatest common factor (GCF) of 37966 and 37972 is 2.

GCF(37966,37972) = 2

We will now calculate the prime factors of 37966 and 37972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37966 and 37972.

How to find the GCF of 37966 and 37972?

We will first find the prime factorization of 37966 and 37972. After we will calculate the factors of 37966 and 37972 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 37972

Prime factors of 37972 are 2, 11, 863. Prime factorization of 37972 in exponential form is:

37972 = 2² × 11¹ × 863¹

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 37972

List of positive integer factors of 37972 that divides 37966 without a remainder.

1, 2, 4, 11, 22, 44, 863, 1726, 3452, 9493, 18986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37966 and 37972. The biggest common factor number is the GCF number.
So the greatest common factor 37966 and 37972 is 2.

Also check out the Least Common Multiple of 37966 and 37972