What is the Greatest Common Factor of 71810 and 71814?

Greatest common factor (GCF) of 71810 and 71814 is 2.

GCF(71810,71814) = 2

We will now calculate the prime factors of 71810 and 71814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71810 and 71814.

How to find the GCF of 71810 and 71814?

We will first find the prime factorization of 71810 and 71814. After we will calculate the factors of 71810 and 71814 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 71814

Prime factors of 71814 are 2, 3, 11969. Prime factorization of 71814 in exponential form is:

71814 = 2¹ × 3¹ × 11969¹

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 71814

List of positive integer factors of 71814 that divides 71810 without a remainder.

1, 2, 3, 6, 11969, 23938, 35907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71810 and 71814. The biggest common factor number is the GCF number.
So the greatest common factor 71810 and 71814 is 2.

Also check out the Least Common Multiple of 71810 and 71814