What is the Greatest Common Factor of 37598 and 37606?

Greatest common factor (GCF) of 37598 and 37606 is 2.

GCF(37598,37606) = 2

We will now calculate the prime factors of 37598 and 37606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37598 and 37606.

How to find the GCF of 37598 and 37606?

We will first find the prime factorization of 37598 and 37606. After we will calculate the factors of 37598 and 37606 and find the biggest common factor number .

Step-1: Prime Factorization of 37598

Prime factors of 37598 are 2, 11, 1709. Prime factorization of 37598 in exponential form is:

37598 = 2¹ × 11¹ × 1709¹

Step-2: Prime Factorization of 37606

Prime factors of 37606 are 2, 18803. Prime factorization of 37606 in exponential form is:

37606 = 2¹ × 18803¹

Step-3: Factors of 37598

List of positive integer factors of 37598 that divides 37598 without a remainder.

1, 2, 11, 22, 1709, 3418, 18799

Step-4: Factors of 37606

List of positive integer factors of 37606 that divides 37598 without a remainder.

1, 2, 18803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37598 and 37606. The biggest common factor number is the GCF number.
So the greatest common factor 37598 and 37606 is 2.

Also check out the Least Common Multiple of 37598 and 37606