What is the Greatest Common Factor of 7208 and 7215?

Greatest common factor (GCF) of 7208 and 7215 is 1.

GCF(7208,7215) = 1

We will now calculate the prime factors of 7208 and 7215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7208 and 7215.

How to find the GCF of 7208 and 7215?

We will first find the prime factorization of 7208 and 7215. After we will calculate the factors of 7208 and 7215 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 7215

Prime factors of 7215 are 3, 5, 13, 37. Prime factorization of 7215 in exponential form is:

7215 = 3¹ × 5¹ × 13¹ × 37¹

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 7215

List of positive integer factors of 7215 that divides 7208 without a remainder.

1, 3, 5, 13, 15, 37, 39, 65, 111, 185, 195, 481, 555, 1443, 2405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7208 and 7215. The biggest common factor number is the GCF number.
So the greatest common factor 7208 and 7215 is 1.

Also check out the Least Common Multiple of 7208 and 7215