What is the Greatest Common Factor of 71538 and 71549?

Greatest common factor (GCF) of 71538 and 71549 is 1.

GCF(71538,71549) = 1

We will now calculate the prime factors of 71538 and 71549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71538 and 71549.

How to find the GCF of 71538 and 71549?

We will first find the prime factorization of 71538 and 71549. After we will calculate the factors of 71538 and 71549 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 71549

Prime factors of 71549 are 71549. Prime factorization of 71549 in exponential form is:

71549 = 71549¹

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 71549

List of positive integer factors of 71549 that divides 71538 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71538 and 71549. The biggest common factor number is the GCF number.
So the greatest common factor 71538 and 71549 is 1.

Also check out the Least Common Multiple of 71538 and 71549