What is the Greatest Common Factor of 37219 and 37232?

Greatest common factor (GCF) of 37219 and 37232 is 13.

GCF(37219,37232) = 13

We will now calculate the prime factors of 37219 and 37232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37219 and 37232.

How to find the GCF of 37219 and 37232?

We will first find the prime factorization of 37219 and 37232. After we will calculate the factors of 37219 and 37232 and find the biggest common factor number .

Step-1: Prime Factorization of 37219

Prime factors of 37219 are 7, 13, 409. Prime factorization of 37219 in exponential form is:

37219 = 7¹ × 13¹ × 409¹

Step-2: Prime Factorization of 37232

Prime factors of 37232 are 2, 13, 179. Prime factorization of 37232 in exponential form is:

37232 = 2⁴ × 13¹ × 179¹

Step-3: Factors of 37219

List of positive integer factors of 37219 that divides 37219 without a remainder.

1, 7, 13, 91, 409, 2863, 5317

Step-4: Factors of 37232

List of positive integer factors of 37232 that divides 37219 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 179, 208, 358, 716, 1432, 2327, 2864, 4654, 9308, 18616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37219 and 37232. The biggest common factor number is the GCF number.
So the greatest common factor 37219 and 37232 is 13.

Also check out the Least Common Multiple of 37219 and 37232