What is the Greatest Common Factor of 65225 and 65230?

Greatest common factor (GCF) of 65225 and 65230 is 5.

GCF(65225,65230) = 5

We will now calculate the prime factors of 65225 and 65230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65225 and 65230.

How to find the GCF of 65225 and 65230?

We will first find the prime factorization of 65225 and 65230. After we will calculate the factors of 65225 and 65230 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 65230

Prime factors of 65230 are 2, 5, 11, 593. Prime factorization of 65230 in exponential form is:

65230 = 2¹ × 5¹ × 11¹ × 593¹

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 65230

List of positive integer factors of 65230 that divides 65225 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 593, 1186, 2965, 5930, 6523, 13046, 32615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65225 and 65230. The biggest common factor number is the GCF number.
So the greatest common factor 65225 and 65230 is 5.

Also check out the Least Common Multiple of 65225 and 65230