What is the Greatest Common Factor of 7242 and 7259?

Greatest common factor (GCF) of 7242 and 7259 is 17.

GCF(7242,7259) = 17

We will now calculate the prime factors of 7242 and 7259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7242 and 7259.

How to find the GCF of 7242 and 7259?

We will first find the prime factorization of 7242 and 7259. After we will calculate the factors of 7242 and 7259 and find the biggest common factor number .

Step-1: Prime Factorization of 7242

Prime factors of 7242 are 2, 3, 17, 71. Prime factorization of 7242 in exponential form is:

7242 = 2¹ × 3¹ × 17¹ × 71¹

Step-2: Prime Factorization of 7259

Prime factors of 7259 are 7, 17, 61. Prime factorization of 7259 in exponential form is:

7259 = 7¹ × 17¹ × 61¹

Step-3: Factors of 7242

List of positive integer factors of 7242 that divides 7242 without a remainder.

1, 2, 3, 6, 17, 34, 51, 71, 102, 142, 213, 426, 1207, 2414, 3621

Step-4: Factors of 7259

List of positive integer factors of 7259 that divides 7242 without a remainder.

1, 7, 17, 61, 119, 427, 1037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7242 and 7259. The biggest common factor number is the GCF number.
So the greatest common factor 7242 and 7259 is 17.

Also check out the Least Common Multiple of 7242 and 7259