What is the Greatest Common Factor of 67822 and 67828?

Greatest common factor (GCF) of 67822 and 67828 is 2.

GCF(67822,67828) = 2

We will now calculate the prime factors of 67822 and 67828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67822 and 67828.

How to find the GCF of 67822 and 67828?

We will first find the prime factorization of 67822 and 67828. After we will calculate the factors of 67822 and 67828 and find the biggest common factor number .

Step-1: Prime Factorization of 67822

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

67822 = 2¹ × 33911¹

Step-2: Prime Factorization of 67828

Prime factors of 67828 are 2, 31, 547. Prime factorization of 67828 in exponential form is:

67828 = 2² × 31¹ × 547¹

Step-3: Factors of 67822

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

1, 2, 33911

Step-4: Factors of 67828

List of positive integer factors of 67828 that divides 67822 without a remainder.

1, 2, 4, 31, 62, 124, 547, 1094, 2188, 16957, 33914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67822 and 67828. The biggest common factor number is the GCF number.
So the greatest common factor 67822 and 67828 is 2.

Also check out the Least Common Multiple of 67822 and 67828