What is the Greatest Common Factor of 71460 and 71473?

Greatest common factor (GCF) of 71460 and 71473 is 1.

GCF(71460,71473) = 1

We will now calculate the prime factors of 71460 and 71473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71460 and 71473.

How to find the GCF of 71460 and 71473?

We will first find the prime factorization of 71460 and 71473. After we will calculate the factors of 71460 and 71473 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 71473

Prime factors of 71473 are 71473. Prime factorization of 71473 in exponential form is:

71473 = 71473¹

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 71473

List of positive integer factors of 71473 that divides 71460 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71460 and 71473. The biggest common factor number is the GCF number.
So the greatest common factor 71460 and 71473 is 1.

Also check out the Least Common Multiple of 71460 and 71473