What is the Greatest Common Factor of 5219 and 5236?

Greatest common factor (GCF) of 5219 and 5236 is 17.

GCF(5219,5236) = 17

We will now calculate the prime factors of 5219 and 5236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5219 and 5236.

How to find the GCF of 5219 and 5236?

We will first find the prime factorization of 5219 and 5236. After we will calculate the factors of 5219 and 5236 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 5236

Prime factors of 5236 are 2, 7, 11, 17. Prime factorization of 5236 in exponential form is:

5236 = 2² × 7¹ × 11¹ × 17¹

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 5236

List of positive integer factors of 5236 that divides 5219 without a remainder.

1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 154, 187, 238, 308, 374, 476, 748, 1309, 2618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5219 and 5236. The biggest common factor number is the GCF number.
So the greatest common factor 5219 and 5236 is 17.

Also check out the Least Common Multiple of 5219 and 5236