What is the Greatest Common Factor of 43208 and 43219?

Greatest common factor (GCF) of 43208 and 43219 is 11.

GCF(43208,43219) = 11

We will now calculate the prime factors of 43208 and 43219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43208 and 43219.

How to find the GCF of 43208 and 43219?

We will first find the prime factorization of 43208 and 43219. After we will calculate the factors of 43208 and 43219 and find the biggest common factor number .

Step-1: Prime Factorization of 43208

Prime factors of 43208 are 2, 11, 491. Prime factorization of 43208 in exponential form is:

43208 = 2³ × 11¹ × 491¹

Step-2: Prime Factorization of 43219

Prime factors of 43219 are 11, 3929. Prime factorization of 43219 in exponential form is:

43219 = 11¹ × 3929¹

Step-3: Factors of 43208

List of positive integer factors of 43208 that divides 43208 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 491, 982, 1964, 3928, 5401, 10802, 21604

Step-4: Factors of 43219

List of positive integer factors of 43219 that divides 43208 without a remainder.

1, 11, 3929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43208 and 43219. The biggest common factor number is the GCF number.
So the greatest common factor 43208 and 43219 is 11.

Also check out the Least Common Multiple of 43208 and 43219