What is the Greatest Common Factor of 95225 and 95230?

Greatest common factor (GCF) of 95225 and 95230 is 5.

GCF(95225,95230) = 5

We will now calculate the prime factors of 95225 and 95230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95225 and 95230.

How to find the GCF of 95225 and 95230?

We will first find the prime factorization of 95225 and 95230. After we will calculate the factors of 95225 and 95230 and find the biggest common factor number .

Step-1: Prime Factorization of 95225

Prime factors of 95225 are 5, 13, 293. Prime factorization of 95225 in exponential form is:

95225 = 5² × 13¹ × 293¹

Step-2: Prime Factorization of 95230

Prime factors of 95230 are 2, 5, 89, 107. Prime factorization of 95230 in exponential form is:

95230 = 2¹ × 5¹ × 89¹ × 107¹

Step-3: Factors of 95225

List of positive integer factors of 95225 that divides 95225 without a remainder.

1, 5, 13, 25, 65, 293, 325, 1465, 3809, 7325, 19045

Step-4: Factors of 95230

List of positive integer factors of 95230 that divides 95225 without a remainder.

1, 2, 5, 10, 89, 107, 178, 214, 445, 535, 890, 1070, 9523, 19046, 47615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95225 and 95230. The biggest common factor number is the GCF number.
So the greatest common factor 95225 and 95230 is 5.

Also check out the Least Common Multiple of 95225 and 95230