What is the Greatest Common Factor of 67814 and 67822?

Greatest common factor (GCF) of 67814 and 67822 is 2.

GCF(67814,67822) = 2

We will now calculate the prime factors of 67814 and 67822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67814 and 67822.

How to find the GCF of 67814 and 67822?

We will first find the prime factorization of 67814 and 67822. After we will calculate the factors of 67814 and 67822 and find the biggest common factor number .

Step-1: Prime Factorization of 67814

Prime factors of 67814 are 2, 41, 827. Prime factorization of 67814 in exponential form is:

67814 = 2¹ × 41¹ × 827¹

Step-2: Prime Factorization of 67822

Prime factors of 67822 are 2, 33911. Prime factorization of 67822 in exponential form is:

67822 = 2¹ × 33911¹

Step-3: Factors of 67814

List of positive integer factors of 67814 that divides 67814 without a remainder.

1, 2, 41, 82, 827, 1654, 33907

Step-4: Factors of 67822

List of positive integer factors of 67822 that divides 67814 without a remainder.

1, 2, 33911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67814 and 67822. The biggest common factor number is the GCF number.
So the greatest common factor 67814 and 67822 is 2.

Also check out the Least Common Multiple of 67814 and 67822