What is the Greatest Common Factor of 87250 and 87270?

Greatest common factor (GCF) of 87250 and 87270 is 10.

GCF(87250,87270) = 10

We will now calculate the prime factors of 87250 and 87270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87250 and 87270.

How to find the GCF of 87250 and 87270?

We will first find the prime factorization of 87250 and 87270. After we will calculate the factors of 87250 and 87270 and find the biggest common factor number .

Step-1: Prime Factorization of 87250

Prime factors of 87250 are 2, 5, 349. Prime factorization of 87250 in exponential form is:

87250 = 2¹ × 5³ × 349¹

Step-2: Prime Factorization of 87270

Prime factors of 87270 are 2, 3, 5, 2909. Prime factorization of 87270 in exponential form is:

87270 = 2¹ × 3¹ × 5¹ × 2909¹

Step-3: Factors of 87250

List of positive integer factors of 87250 that divides 87250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 349, 698, 1745, 3490, 8725, 17450, 43625

Step-4: Factors of 87270

List of positive integer factors of 87270 that divides 87250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2909, 5818, 8727, 14545, 17454, 29090, 43635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87250 and 87270. The biggest common factor number is the GCF number.
So the greatest common factor 87250 and 87270 is 10.

Also check out the Least Common Multiple of 87250 and 87270