What is the Greatest Common Factor of 37598 and 37609?

Greatest common factor (GCF) of 37598 and 37609 is 11.

GCF(37598,37609) = 11

We will now calculate the prime factors of 37598 and 37609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37598 and 37609.

How to find the GCF of 37598 and 37609?

We will first find the prime factorization of 37598 and 37609. After we will calculate the factors of 37598 and 37609 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 37609

Prime factors of 37609 are 11, 13, 263. Prime factorization of 37609 in exponential form is:

37609 = 11¹ × 13¹ × 263¹

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 37609

List of positive integer factors of 37609 that divides 37598 without a remainder.

1, 11, 13, 143, 263, 2893, 3419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37598 and 37609. The biggest common factor number is the GCF number.
So the greatest common factor 37598 and 37609 is 11.

Also check out the Least Common Multiple of 37598 and 37609