What is the Greatest Common Factor of 71430 and 71440?

Greatest common factor (GCF) of 71430 and 71440 is 10.

GCF(71430,71440) = 10

We will now calculate the prime factors of 71430 and 71440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71430 and 71440.

How to find the GCF of 71430 and 71440?

We will first find the prime factorization of 71430 and 71440. After we will calculate the factors of 71430 and 71440 and find the biggest common factor number .

Step-1: Prime Factorization of 71430

Prime factors of 71430 are 2, 3, 5, 2381. Prime factorization of 71430 in exponential form is:

71430 = 2¹ × 3¹ × 5¹ × 2381¹

Step-2: 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-3: Factors of 71430

List of positive integer factors of 71430 that divides 71430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2381, 4762, 7143, 11905, 14286, 23810, 35715

Step-4: Factors of 71440

List of positive integer factors of 71440 that divides 71430 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71430 and 71440. The biggest common factor number is the GCF number.
So the greatest common factor 71430 and 71440 is 10.

Also check out the Least Common Multiple of 71430 and 71440