What is the Greatest Common Factor of 71440 and 71449?

Greatest common factor (GCF) of 71440 and 71449 is 1.

GCF(71440,71449) = 1

We will now calculate the prime factors of 71440 and 71449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71440 and 71449.

How to find the GCF of 71440 and 71449?

We will first find the prime factorization of 71440 and 71449. After we will calculate the factors of 71440 and 71449 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 71449

Prime factors of 71449 are 7, 59, 173. Prime factorization of 71449 in exponential form is:

71449 = 7¹ × 59¹ × 173¹

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 71449

List of positive integer factors of 71449 that divides 71440 without a remainder.

1, 7, 59, 173, 413, 1211, 10207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71440 and 71449. The biggest common factor number is the GCF number.
So the greatest common factor 71440 and 71449 is 1.

Also check out the Least Common Multiple of 71440 and 71449