What is the Greatest Common Factor of 7259 and 7276?

Greatest common factor (GCF) of 7259 and 7276 is 17.

GCF(7259,7276) = 17

We will now calculate the prime factors of 7259 and 7276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7259 and 7276.

How to find the GCF of 7259 and 7276?

We will first find the prime factorization of 7259 and 7276. After we will calculate the factors of 7259 and 7276 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7276

Prime factors of 7276 are 2, 17, 107. Prime factorization of 7276 in exponential form is:

7276 = 2² × 17¹ × 107¹

Step-3: Factors of 7259

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

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

Step-4: Factors of 7276

List of positive integer factors of 7276 that divides 7259 without a remainder.

1, 2, 4, 17, 34, 68, 107, 214, 428, 1819, 3638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7259 and 7276. The biggest common factor number is the GCF number.
So the greatest common factor 7259 and 7276 is 17.

Also check out the Least Common Multiple of 7259 and 7276