What is the Greatest Common Factor of 71799 and 71812?

Greatest common factor (GCF) of 71799 and 71812 is 13.

GCF(71799,71812) = 13

We will now calculate the prime factors of 71799 and 71812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71799 and 71812.

How to find the GCF of 71799 and 71812?

We will first find the prime factorization of 71799 and 71812. After we will calculate the factors of 71799 and 71812 and find the biggest common factor number .

Step-1: Prime Factorization of 71799

Prime factors of 71799 are 3, 7, 13, 263. Prime factorization of 71799 in exponential form is:

71799 = 3¹ × 7¹ × 13¹ × 263¹

Step-2: Prime Factorization of 71812

Prime factors of 71812 are 2, 13, 1381. Prime factorization of 71812 in exponential form is:

71812 = 2² × 13¹ × 1381¹

Step-3: Factors of 71799

List of positive integer factors of 71799 that divides 71799 without a remainder.

1, 3, 7, 13, 21, 39, 91, 263, 273, 789, 1841, 3419, 5523, 10257, 23933

Step-4: Factors of 71812

List of positive integer factors of 71812 that divides 71799 without a remainder.

1, 2, 4, 13, 26, 52, 1381, 2762, 5524, 17953, 35906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71799 and 71812. The biggest common factor number is the GCF number.
So the greatest common factor 71799 and 71812 is 13.

Also check out the Least Common Multiple of 71799 and 71812