What is the Greatest Common Factor of 65225 and 65235?

Greatest common factor (GCF) of 65225 and 65235 is 5.

GCF(65225,65235) = 5

We will now calculate the prime factors of 65225 and 65235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65225 and 65235.

How to find the GCF of 65225 and 65235?

We will first find the prime factorization of 65225 and 65235. After we will calculate the factors of 65225 and 65235 and find the biggest common factor number .

Step-1: Prime Factorization of 65225

Prime factors of 65225 are 5, 2609. Prime factorization of 65225 in exponential form is:

65225 = 5² × 2609¹

Step-2: Prime Factorization of 65235

Prime factors of 65235 are 3, 5, 4349. Prime factorization of 65235 in exponential form is:

65235 = 3¹ × 5¹ × 4349¹

Step-3: Factors of 65225

List of positive integer factors of 65225 that divides 65225 without a remainder.

1, 5, 25, 2609, 13045

Step-4: Factors of 65235

List of positive integer factors of 65235 that divides 65225 without a remainder.

1, 3, 5, 15, 4349, 13047, 21745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65225 and 65235. The biggest common factor number is the GCF number.
So the greatest common factor 65225 and 65235 is 5.

Also check out the Least Common Multiple of 65225 and 65235