What is the Greatest Common Factor of 71460 and 71478?

Greatest common factor (GCF) of 71460 and 71478 is 18.

GCF(71460,71478) = 18

We will now calculate the prime factors of 71460 and 71478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71460 and 71478.

How to find the GCF of 71460 and 71478?

We will first find the prime factorization of 71460 and 71478. After we will calculate the factors of 71460 and 71478 and find the biggest common factor number .

Step-1: Prime Factorization of 71460

Prime factors of 71460 are 2, 3, 5, 397. Prime factorization of 71460 in exponential form is:

71460 = 2² × 3² × 5¹ × 397¹

Step-2: Prime Factorization of 71478

Prime factors of 71478 are 2, 3, 11, 19. Prime factorization of 71478 in exponential form is:

71478 = 2¹ × 3² × 11¹ × 19²

Step-3: Factors of 71460

List of positive integer factors of 71460 that divides 71460 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 397, 794, 1191, 1588, 1985, 2382, 3573, 3970, 4764, 5955, 7146, 7940, 11910, 14292, 17865, 23820, 35730

Step-4: Factors of 71478

List of positive integer factors of 71478 that divides 71460 without a remainder.

1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 361, 418, 627, 722, 1083, 1254, 1881, 2166, 3249, 3762, 3971, 6498, 7942, 11913, 23826, 35739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71460 and 71478. The biggest common factor number is the GCF number.
So the greatest common factor 71460 and 71478 is 18.

Also check out the Least Common Multiple of 71460 and 71478