What is the Greatest Common Factor of 71812 and 71822?

Greatest common factor (GCF) of 71812 and 71822 is 2.

GCF(71812,71822) = 2

We will now calculate the prime factors of 71812 and 71822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71812 and 71822.

How to find the GCF of 71812 and 71822?

We will first find the prime factorization of 71812 and 71822. After we will calculate the factors of 71812 and 71822 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71822

Prime factors of 71822 are 2, 35911. Prime factorization of 71822 in exponential form is:

71822 = 2¹ × 35911¹

Step-3: Factors of 71812

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

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

Step-4: Factors of 71822

List of positive integer factors of 71822 that divides 71812 without a remainder.

1, 2, 35911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71812 and 71822. The biggest common factor number is the GCF number.
So the greatest common factor 71812 and 71822 is 2.

Also check out the Least Common Multiple of 71812 and 71822