What is the Greatest Common Factor of 71250 and 71270?

Greatest common factor (GCF) of 71250 and 71270 is 10.

GCF(71250,71270) = 10

We will now calculate the prime factors of 71250 and 71270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71250 and 71270.

How to find the GCF of 71250 and 71270?

We will first find the prime factorization of 71250 and 71270. After we will calculate the factors of 71250 and 71270 and find the biggest common factor number .

Step-1: Prime Factorization of 71250

Prime factors of 71250 are 2, 3, 5, 19. Prime factorization of 71250 in exponential form is:

71250 = 2¹ × 3¹ × 5⁴ × 19¹

Step-2: Prime Factorization of 71270

Prime factors of 71270 are 2, 5, 7127. Prime factorization of 71270 in exponential form is:

71270 = 2¹ × 5¹ × 7127¹

Step-3: Factors of 71250

List of positive integer factors of 71250 that divides 71250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 25, 30, 38, 50, 57, 75, 95, 114, 125, 150, 190, 250, 285, 375, 475, 570, 625, 750, 950, 1250, 1425, 1875, 2375, 2850, 3750, 4750, 7125, 11875, 14250, 23750, 35625

Step-4: Factors of 71270

List of positive integer factors of 71270 that divides 71250 without a remainder.

1, 2, 5, 10, 7127, 14254, 35635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71250 and 71270. The biggest common factor number is the GCF number.
So the greatest common factor 71250 and 71270 is 10.

Also check out the Least Common Multiple of 71250 and 71270