What is the Greatest Common Factor of 71538 and 71543?

Greatest common factor (GCF) of 71538 and 71543 is 1.

GCF(71538,71543) = 1

We will now calculate the prime factors of 71538 and 71543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71538 and 71543.

How to find the GCF of 71538 and 71543?

We will first find the prime factorization of 71538 and 71543. After we will calculate the factors of 71538 and 71543 and find the biggest common factor number .

Step-1: Prime Factorization of 71538

Prime factors of 71538 are 2, 3, 11923. Prime factorization of 71538 in exponential form is:

71538 = 2¹ × 3¹ × 11923¹

Step-2: Prime Factorization of 71543

Prime factors of 71543 are 29, 2467. Prime factorization of 71543 in exponential form is:

71543 = 29¹ × 2467¹

Step-3: Factors of 71538

List of positive integer factors of 71538 that divides 71538 without a remainder.

1, 2, 3, 6, 11923, 23846, 35769

Step-4: Factors of 71543

List of positive integer factors of 71543 that divides 71538 without a remainder.

1, 29, 2467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71538 and 71543. The biggest common factor number is the GCF number.
So the greatest common factor 71538 and 71543 is 1.

Also check out the Least Common Multiple of 71538 and 71543