What is the Greatest Common Factor of 71250 and 71269?

Greatest common factor (GCF) of 71250 and 71269 is 19.

GCF(71250,71269) = 19

We will now calculate the prime factors of 71250 and 71269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71250 and 71269.

How to find the GCF of 71250 and 71269?

We will first find the prime factorization of 71250 and 71269. After we will calculate the factors of 71250 and 71269 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 71269

Prime factors of 71269 are 11, 19, 31. Prime factorization of 71269 in exponential form is:

71269 = 11² × 19¹ × 31¹

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 71269

List of positive integer factors of 71269 that divides 71250 without a remainder.

1, 11, 19, 31, 121, 209, 341, 589, 2299, 3751, 6479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71250 and 71269. The biggest common factor number is the GCF number.
So the greatest common factor 71250 and 71269 is 19.

Also check out the Least Common Multiple of 71250 and 71269