What is the Greatest Common Factor of 5219 and 5232?

Greatest common factor (GCF) of 5219 and 5232 is 1.

GCF(5219,5232) = 1

We will now calculate the prime factors of 5219 and 5232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5219 and 5232.

How to find the GCF of 5219 and 5232?

We will first find the prime factorization of 5219 and 5232. After we will calculate the factors of 5219 and 5232 and find the biggest common factor number .

Step-1: Prime Factorization of 5219

Prime factors of 5219 are 17, 307. Prime factorization of 5219 in exponential form is:

5219 = 17¹ × 307¹

Step-2: Prime Factorization of 5232

Prime factors of 5232 are 2, 3, 109. Prime factorization of 5232 in exponential form is:

5232 = 2⁴ × 3¹ × 109¹

Step-3: Factors of 5219

List of positive integer factors of 5219 that divides 5219 without a remainder.

1, 17, 307

Step-4: Factors of 5232

List of positive integer factors of 5232 that divides 5219 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5219 and 5232. The biggest common factor number is the GCF number.
So the greatest common factor 5219 and 5232 is 1.

Also check out the Least Common Multiple of 5219 and 5232