What is the Greatest Common Factor of 65225 and 65241?

Greatest common factor (GCF) of 65225 and 65241 is 1.

GCF(65225,65241) = 1

We will now calculate the prime factors of 65225 and 65241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65225 and 65241.

How to find the GCF of 65225 and 65241?

We will first find the prime factorization of 65225 and 65241. After we will calculate the factors of 65225 and 65241 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 65241

Prime factors of 65241 are 3, 11, 659. Prime factorization of 65241 in exponential form is:

65241 = 3² × 11¹ × 659¹

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 65241

List of positive integer factors of 65241 that divides 65225 without a remainder.

1, 3, 9, 11, 33, 99, 659, 1977, 5931, 7249, 21747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65225 and 65241. The biggest common factor number is the GCF number.
So the greatest common factor 65225 and 65241 is 1.

Also check out the Least Common Multiple of 65225 and 65241