What is the Greatest Common Factor of 37226 and 37231?

Greatest common factor (GCF) of 37226 and 37231 is 1.

GCF(37226,37231) = 1

We will now calculate the prime factors of 37226 and 37231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37226 and 37231.

How to find the GCF of 37226 and 37231?

We will first find the prime factorization of 37226 and 37231. After we will calculate the factors of 37226 and 37231 and find the biggest common factor number .

Step-1: Prime Factorization of 37226

Prime factors of 37226 are 2, 7, 2659. Prime factorization of 37226 in exponential form is:

37226 = 2¹ × 7¹ × 2659¹

Step-2: Prime Factorization of 37231

Prime factors of 37231 are 31, 1201. Prime factorization of 37231 in exponential form is:

37231 = 31¹ × 1201¹

Step-3: Factors of 37226

List of positive integer factors of 37226 that divides 37226 without a remainder.

1, 2, 7, 14, 2659, 5318, 18613

Step-4: Factors of 37231

List of positive integer factors of 37231 that divides 37226 without a remainder.

1, 31, 1201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37226 and 37231. The biggest common factor number is the GCF number.
So the greatest common factor 37226 and 37231 is 1.

Also check out the Least Common Multiple of 37226 and 37231