What is the Greatest Common Factor of 6235 and 6245?

Greatest common factor (GCF) of 6235 and 6245 is 5.

GCF(6235,6245) = 5

We will now calculate the prime factors of 6235 and 6245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6235 and 6245.

How to find the GCF of 6235 and 6245?

We will first find the prime factorization of 6235 and 6245. After we will calculate the factors of 6235 and 6245 and find the biggest common factor number .

Step-1: Prime Factorization of 6235

Prime factors of 6235 are 5, 29, 43. Prime factorization of 6235 in exponential form is:

6235 = 5¹ × 29¹ × 43¹

Step-2: Prime Factorization of 6245

Prime factors of 6245 are 5, 1249. Prime factorization of 6245 in exponential form is:

6245 = 5¹ × 1249¹

Step-3: Factors of 6235

List of positive integer factors of 6235 that divides 6235 without a remainder.

1, 5, 29, 43, 145, 215, 1247

Step-4: Factors of 6245

List of positive integer factors of 6245 that divides 6235 without a remainder.

1, 5, 1249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6235 and 6245. The biggest common factor number is the GCF number.
So the greatest common factor 6235 and 6245 is 5.

Also check out the Least Common Multiple of 6235 and 6245