What is the Greatest Common Factor of 46822 and 46838?

Greatest common factor (GCF) of 46822 and 46838 is 2.

GCF(46822,46838) = 2

We will now calculate the prime factors of 46822 and 46838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46822 and 46838.

How to find the GCF of 46822 and 46838?

We will first find the prime factorization of 46822 and 46838. After we will calculate the factors of 46822 and 46838 and find the biggest common factor number .

Step-1: Prime Factorization of 46822

Prime factors of 46822 are 2, 41, 571. Prime factorization of 46822 in exponential form is:

46822 = 2¹ × 41¹ × 571¹

Step-2: Prime Factorization of 46838

Prime factors of 46838 are 2, 11, 2129. Prime factorization of 46838 in exponential form is:

46838 = 2¹ × 11¹ × 2129¹

Step-3: Factors of 46822

List of positive integer factors of 46822 that divides 46822 without a remainder.

1, 2, 41, 82, 571, 1142, 23411

Step-4: Factors of 46838

List of positive integer factors of 46838 that divides 46822 without a remainder.

1, 2, 11, 22, 2129, 4258, 23419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46822 and 46838. The biggest common factor number is the GCF number.
So the greatest common factor 46822 and 46838 is 2.

Also check out the Least Common Multiple of 46822 and 46838