What is the Greatest Common Factor of 95250 and 95260?

Greatest common factor (GCF) of 95250 and 95260 is 10.

GCF(95250,95260) = 10

We will now calculate the prime factors of 95250 and 95260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95250 and 95260.

How to find the GCF of 95250 and 95260?

We will first find the prime factorization of 95250 and 95260. After we will calculate the factors of 95250 and 95260 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95260

Prime factors of 95260 are 2, 5, 11, 433. Prime factorization of 95260 in exponential form is:

95260 = 2² × 5¹ × 11¹ × 433¹

Step-3: Factors of 95250

List of positive integer factors of 95250 that divides 95250 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

Step-4: Factors of 95260

List of positive integer factors of 95260 that divides 95250 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 433, 866, 1732, 2165, 4330, 4763, 8660, 9526, 19052, 23815, 47630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95250 and 95260. The biggest common factor number is the GCF number.
So the greatest common factor 95250 and 95260 is 10.

Also check out the Least Common Multiple of 95250 and 95260