What is the Greatest Common Factor of 95225 and 95242?

Greatest common factor (GCF) of 95225 and 95242 is 1.

GCF(95225,95242) = 1

We will now calculate the prime factors of 95225 and 95242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95225 and 95242.

How to find the GCF of 95225 and 95242?

We will first find the prime factorization of 95225 and 95242. After we will calculate the factors of 95225 and 95242 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 95242

Prime factors of 95242 are 2, 7, 6803. Prime factorization of 95242 in exponential form is:

95242 = 2¹ × 7¹ × 6803¹

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 95242

List of positive integer factors of 95242 that divides 95225 without a remainder.

1, 2, 7, 14, 6803, 13606, 47621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95225 and 95242. The biggest common factor number is the GCF number.
So the greatest common factor 95225 and 95242 is 1.

Also check out the Least Common Multiple of 95225 and 95242