What is the Greatest Common Factor of 71440 and 71454?

Greatest common factor (GCF) of 71440 and 71454 is 2.

GCF(71440,71454) = 2

We will now calculate the prime factors of 71440 and 71454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71440 and 71454.

How to find the GCF of 71440 and 71454?

We will first find the prime factorization of 71440 and 71454. After we will calculate the factors of 71440 and 71454 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 71454

Prime factors of 71454 are 2, 3, 11909. Prime factorization of 71454 in exponential form is:

71454 = 2¹ × 3¹ × 11909¹

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 71454

List of positive integer factors of 71454 that divides 71440 without a remainder.

1, 2, 3, 6, 11909, 23818, 35727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71440 and 71454. The biggest common factor number is the GCF number.
So the greatest common factor 71440 and 71454 is 2.

Also check out the Least Common Multiple of 71440 and 71454