What is the Greatest Common Factor of 7208 and 7219?

Greatest common factor (GCF) of 7208 and 7219 is 1.

GCF(7208,7219) = 1

We will now calculate the prime factors of 7208 and 7219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7208 and 7219.

How to find the GCF of 7208 and 7219?

We will first find the prime factorization of 7208 and 7219. After we will calculate the factors of 7208 and 7219 and find the biggest common factor number .

Step-1: Prime Factorization of 7208

Prime factors of 7208 are 2, 17, 53. Prime factorization of 7208 in exponential form is:

7208 = 2³ × 17¹ × 53¹

Step-2: Prime Factorization of 7219

Prime factors of 7219 are 7219. Prime factorization of 7219 in exponential form is:

7219 = 7219¹

Step-3: Factors of 7208

List of positive integer factors of 7208 that divides 7208 without a remainder.

1, 2, 4, 8, 17, 34, 53, 68, 106, 136, 212, 424, 901, 1802, 3604

Step-4: Factors of 7219

List of positive integer factors of 7219 that divides 7208 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7208 and 7219. The biggest common factor number is the GCF number.
So the greatest common factor 7208 and 7219 is 1.

Also check out the Least Common Multiple of 7208 and 7219