What is the Greatest Common Factor of 71440 and 71459?

Greatest common factor (GCF) of 71440 and 71459 is 19.

GCF(71440,71459) = 19

We will now calculate the prime factors of 71440 and 71459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71440 and 71459.

How to find the GCF of 71440 and 71459?

We will first find the prime factorization of 71440 and 71459. After we will calculate the factors of 71440 and 71459 and find the biggest common factor number .

Step-1: Prime Factorization of 71440

Prime factors of 71440 are 2, 5, 19, 47. Prime factorization of 71440 in exponential form is:

71440 = 2⁴ × 5¹ × 19¹ × 47¹

Step-2: Prime Factorization of 71459

Prime factors of 71459 are 19, 3761. Prime factorization of 71459 in exponential form is:

71459 = 19¹ × 3761¹

Step-3: Factors of 71440

List of positive integer factors of 71440 that divides 71440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 47, 76, 80, 94, 95, 152, 188, 190, 235, 304, 376, 380, 470, 752, 760, 893, 940, 1520, 1786, 1880, 3572, 3760, 4465, 7144, 8930, 14288, 17860, 35720

Step-4: Factors of 71459

List of positive integer factors of 71459 that divides 71440 without a remainder.

1, 19, 3761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71440 and 71459. The biggest common factor number is the GCF number.
So the greatest common factor 71440 and 71459 is 19.

Also check out the Least Common Multiple of 71440 and 71459