What is the Greatest Common Factor of 71912 and 71923?

Greatest common factor (GCF) of 71912 and 71923 is 1.

GCF(71912,71923) = 1

We will now calculate the prime factors of 71912 and 71923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71912 and 71923.

How to find the GCF of 71912 and 71923?

We will first find the prime factorization of 71912 and 71923. After we will calculate the factors of 71912 and 71923 and find the biggest common factor number .

Step-1: Prime Factorization of 71912

Prime factors of 71912 are 2, 89, 101. Prime factorization of 71912 in exponential form is:

71912 = 2³ × 89¹ × 101¹

Step-2: Prime Factorization of 71923

Prime factors of 71923 are 71, 1013. Prime factorization of 71923 in exponential form is:

71923 = 71¹ × 1013¹

Step-3: Factors of 71912

List of positive integer factors of 71912 that divides 71912 without a remainder.

1, 2, 4, 8, 89, 101, 178, 202, 356, 404, 712, 808, 8989, 17978, 35956

Step-4: Factors of 71923

List of positive integer factors of 71923 that divides 71912 without a remainder.

1, 71, 1013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71912 and 71923. The biggest common factor number is the GCF number.
So the greatest common factor 71912 and 71923 is 1.

Also check out the Least Common Multiple of 71912 and 71923