What is the Greatest Common Factor of 3225 and 3235?

Greatest common factor (GCF) of 3225 and 3235 is 5.

GCF(3225,3235) = 5

We will now calculate the prime factors of 3225 and 3235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3225 and 3235.

How to find the GCF of 3225 and 3235?

We will first find the prime factorization of 3225 and 3235. After we will calculate the factors of 3225 and 3235 and find the biggest common factor number .

Step-1: Prime Factorization of 3225

Prime factors of 3225 are 3, 5, 43. Prime factorization of 3225 in exponential form is:

3225 = 3¹ × 5² × 43¹

Step-2: Prime Factorization of 3235

Prime factors of 3235 are 5, 647. Prime factorization of 3235 in exponential form is:

3235 = 5¹ × 647¹

Step-3: Factors of 3225

List of positive integer factors of 3225 that divides 3225 without a remainder.

1, 3, 5, 15, 25, 43, 75, 129, 215, 645, 1075

Step-4: Factors of 3235

List of positive integer factors of 3235 that divides 3225 without a remainder.

1, 5, 647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3225 and 3235. The biggest common factor number is the GCF number.
So the greatest common factor 3225 and 3235 is 5.

Also check out the Least Common Multiple of 3225 and 3235