What is the Greatest Common Factor of 95230 and 95250?

Greatest common factor (GCF) of 95230 and 95250 is 10.

GCF(95230,95250) = 10

We will now calculate the prime factors of 95230 and 95250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95230 and 95250.

How to find the GCF of 95230 and 95250?

We will first find the prime factorization of 95230 and 95250. After we will calculate the factors of 95230 and 95250 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95250

Prime factors of 95250 are 2, 3, 5, 127. Prime factorization of 95250 in exponential form is:

95250 = 2¹ × 3¹ × 5³ × 127¹

Step-3: Factors of 95230

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

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

Step-4: Factors of 95250

List of positive integer factors of 95250 that divides 95230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 127, 150, 250, 254, 375, 381, 635, 750, 762, 1270, 1905, 3175, 3810, 6350, 9525, 15875, 19050, 31750, 47625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95230 and 95250. The biggest common factor number is the GCF number.
So the greatest common factor 95230 and 95250 is 10.

Also check out the Least Common Multiple of 95230 and 95250