What is the Greatest Common Factor of 95250 and 95270?

Greatest common factor (GCF) of 95250 and 95270 is 10.

GCF(95250,95270) = 10

We will now calculate the prime factors of 95250 and 95270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95250 and 95270.

How to find the GCF of 95250 and 95270?

We will first find the prime factorization of 95250 and 95270. After we will calculate the factors of 95250 and 95270 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 95270

Prime factors of 95270 are 2, 5, 7, 1361. Prime factorization of 95270 in exponential form is:

95270 = 2¹ × 5¹ × 7¹ × 1361¹

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 95270

List of positive integer factors of 95270 that divides 95250 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1361, 2722, 6805, 9527, 13610, 19054, 47635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95250 and 95270. The biggest common factor number is the GCF number.
So the greatest common factor 95250 and 95270 is 10.

Also check out the Least Common Multiple of 95250 and 95270