What is the Greatest Common Factor of 52822 and 52842?

Greatest common factor (GCF) of 52822 and 52842 is 2.

GCF(52822,52842) = 2

We will now calculate the prime factors of 52822 and 52842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52822 and 52842.

How to find the GCF of 52822 and 52842?

We will first find the prime factorization of 52822 and 52842. After we will calculate the factors of 52822 and 52842 and find the biggest common factor number .

Step-1: Prime Factorization of 52822

Prime factors of 52822 are 2, 7, 11. Prime factorization of 52822 in exponential form is:

52822 = 2¹ × 7⁴ × 11¹

Step-2: Prime Factorization of 52842

Prime factors of 52842 are 2, 3, 8807. Prime factorization of 52842 in exponential form is:

52842 = 2¹ × 3¹ × 8807¹

Step-3: Factors of 52822

List of positive integer factors of 52822 that divides 52822 without a remainder.

1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 343, 539, 686, 1078, 2401, 3773, 4802, 7546, 26411

Step-4: Factors of 52842

List of positive integer factors of 52842 that divides 52822 without a remainder.

1, 2, 3, 6, 8807, 17614, 26421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52822 and 52842. The biggest common factor number is the GCF number.
So the greatest common factor 52822 and 52842 is 2.

Also check out the Least Common Multiple of 52822 and 52842