What is the Greatest Common Factor of 71878 and 71892?

Greatest common factor (GCF) of 71878 and 71892 is 2.

GCF(71878,71892) = 2

We will now calculate the prime factors of 71878 and 71892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71878 and 71892.

How to find the GCF of 71878 and 71892?

We will first find the prime factorization of 71878 and 71892. After we will calculate the factors of 71878 and 71892 and find the biggest common factor number .

Step-1: Prime Factorization of 71878

Prime factors of 71878 are 2, 83, 433. Prime factorization of 71878 in exponential form is:

71878 = 2¹ × 83¹ × 433¹

Step-2: 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-3: Factors of 71878

List of positive integer factors of 71878 that divides 71878 without a remainder.

1, 2, 83, 166, 433, 866, 35939

Step-4: Factors of 71892

List of positive integer factors of 71892 that divides 71878 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71878 and 71892. The biggest common factor number is the GCF number.
So the greatest common factor 71878 and 71892 is 2.

Also check out the Least Common Multiple of 71878 and 71892