What is the Greatest Common Factor of 71810 and 71828?

Greatest common factor (GCF) of 71810 and 71828 is 2.

GCF(71810,71828) = 2

We will now calculate the prime factors of 71810 and 71828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71810 and 71828.

How to find the GCF of 71810 and 71828?

We will first find the prime factorization of 71810 and 71828. After we will calculate the factors of 71810 and 71828 and find the biggest common factor number .

Step-1: Prime Factorization of 71810

Prime factors of 71810 are 2, 5, 43, 167. Prime factorization of 71810 in exponential form is:

71810 = 2¹ × 5¹ × 43¹ × 167¹

Step-2: Prime Factorization of 71828

Prime factors of 71828 are 2, 17957. Prime factorization of 71828 in exponential form is:

71828 = 2² × 17957¹

Step-3: Factors of 71810

List of positive integer factors of 71810 that divides 71810 without a remainder.

1, 2, 5, 10, 43, 86, 167, 215, 334, 430, 835, 1670, 7181, 14362, 35905

Step-4: Factors of 71828

List of positive integer factors of 71828 that divides 71810 without a remainder.

1, 2, 4, 17957, 35914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71810 and 71828. The biggest common factor number is the GCF number.
So the greatest common factor 71810 and 71828 is 2.

Also check out the Least Common Multiple of 71810 and 71828