What is the Greatest Common Factor of 71796 and 71814?

Greatest common factor (GCF) of 71796 and 71814 is 6.

GCF(71796,71814) = 6

We will now calculate the prime factors of 71796 and 71814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71796 and 71814.

How to find the GCF of 71796 and 71814?

We will first find the prime factorization of 71796 and 71814. After we will calculate the factors of 71796 and 71814 and find the biggest common factor number .

Step-1: Prime Factorization of 71796

Prime factors of 71796 are 2, 3, 31, 193. Prime factorization of 71796 in exponential form is:

71796 = 2² × 3¹ × 31¹ × 193¹

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 71796

List of positive integer factors of 71796 that divides 71796 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 193, 372, 386, 579, 772, 1158, 2316, 5983, 11966, 17949, 23932, 35898

Step-4: Factors of 71814

List of positive integer factors of 71814 that divides 71796 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71796 and 71814. The biggest common factor number is the GCF number.
So the greatest common factor 71796 and 71814 is 6.

Also check out the Least Common Multiple of 71796 and 71814