What is the Greatest Common Factor of 71892 and 71912?

Greatest common factor (GCF) of 71892 and 71912 is 4.

GCF(71892,71912) = 4

We will now calculate the prime factors of 71892 and 71912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71892 and 71912.

How to find the GCF of 71892 and 71912?

We will first find the prime factorization of 71892 and 71912. After we will calculate the factors of 71892 and 71912 and find the biggest common factor number .

Step-1: Prime Factorization of 71892

Prime factors of 71892 are 2, 3, 1997. Prime factorization of 71892 in exponential form is:

71892 = 2² × 3² × 1997¹

Step-2: 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-3: Factors of 71892

List of positive integer factors of 71892 that divides 71892 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1997, 3994, 5991, 7988, 11982, 17973, 23964, 35946

Step-4: Factors of 71912

List of positive integer factors of 71912 that divides 71892 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71892 and 71912. The biggest common factor number is the GCF number.
So the greatest common factor 71892 and 71912 is 4.

Also check out the Least Common Multiple of 71892 and 71912