What is the Greatest Common Factor of 232 and 245?

Greatest common factor (GCF) of 232 and 245 is 1.

GCF(232,245) = 1

We will now calculate the prime factors of 232 and 245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 232 and 245.

How to find the GCF of 232 and 245?

We will first find the prime factorization of 232 and 245. After we will calculate the factors of 232 and 245 and find the biggest common factor number .

Step-1: Prime Factorization of 232

Prime factors of 232 are 2, 29. Prime factorization of 232 in exponential form is:

232 = 2³ × 29¹

Step-2: Prime Factorization of 245

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

245 = 5¹ × 7²

Step-3: Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116

Step-4: Factors of 245

List of positive integer factors of 245 that divides 232 without a remainder.

1, 5, 7, 35, 49

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 232 and 245. The biggest common factor number is the GCF number.
So the greatest common factor 232 and 245 is 1.

Also check out the Least Common Multiple of 232 and 245