What is the Greatest Common Factor of 52822 and 52829?

Greatest common factor (GCF) of 52822 and 52829 is 7.

GCF(52822,52829) = 7

We will now calculate the prime factors of 52822 and 52829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52822 and 52829.

How to find the GCF of 52822 and 52829?

We will first find the prime factorization of 52822 and 52829. After we will calculate the factors of 52822 and 52829 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 52829

Prime factors of 52829 are 7, 7547. Prime factorization of 52829 in exponential form is:

52829 = 7¹ × 7547¹

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 52829

List of positive integer factors of 52829 that divides 52822 without a remainder.

1, 7, 7547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52822 and 52829. The biggest common factor number is the GCF number.
So the greatest common factor 52822 and 52829 is 7.

Also check out the Least Common Multiple of 52822 and 52829