What is the Greatest Common Factor of 245 and 259?

Greatest common factor (GCF) of 245 and 259 is 7.

GCF(245,259) = 7

We will now calculate the prime factors of 245 and 259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 245 and 259.

How to find the GCF of 245 and 259?

We will first find the prime factorization of 245 and 259. After we will calculate the factors of 245 and 259 and find the biggest common factor number .

Step-1: Prime Factorization of 245

Prime factors of 245 are 5, 7. Prime factorization of 245 in exponential form is:

245 = 5¹ × 7²

Step-2: Prime Factorization of 259

Prime factors of 259 are 7, 37. Prime factorization of 259 in exponential form is:

259 = 7¹ × 37¹

Step-3: Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49

Step-4: Factors of 259

List of positive integer factors of 259 that divides 245 without a remainder.

1, 7, 37

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 245 and 259. The biggest common factor number is the GCF number.
So the greatest common factor 245 and 259 is 7.

Also check out the Least Common Multiple of 245 and 259