What is the Greatest Common Factor of 71231 and 71250?

Greatest common factor (GCF) of 71231 and 71250 is 19.

GCF(71231,71250) = 19

We will now calculate the prime factors of 71231 and 71250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71231 and 71250.

How to find the GCF of 71231 and 71250?

We will first find the prime factorization of 71231 and 71250. After we will calculate the factors of 71231 and 71250 and find the biggest common factor number .

Step-1: Prime Factorization of 71231

Prime factors of 71231 are 19, 23, 163. Prime factorization of 71231 in exponential form is:

71231 = 19¹ × 23¹ × 163¹

Step-2: 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-3: Factors of 71231

List of positive integer factors of 71231 that divides 71231 without a remainder.

1, 19, 23, 163, 437, 3097, 3749

Step-4: Factors of 71250

List of positive integer factors of 71250 that divides 71231 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71231 and 71250. The biggest common factor number is the GCF number.
So the greatest common factor 71231 and 71250 is 19.

Also check out the Least Common Multiple of 71231 and 71250