What is the Greatest Common Factor of 52824 and 52842?

Greatest common factor (GCF) of 52824 and 52842 is 6.

GCF(52824,52842) = 6

We will now calculate the prime factors of 52824 and 52842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52824 and 52842.

How to find the GCF of 52824 and 52842?

We will first find the prime factorization of 52824 and 52842. After we will calculate the factors of 52824 and 52842 and find the biggest common factor number .

Step-1: Prime Factorization of 52824

Prime factors of 52824 are 2, 3, 31, 71. Prime factorization of 52824 in exponential form is:

52824 = 2³ × 3¹ × 31¹ × 71¹

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 52824

List of positive integer factors of 52824 that divides 52824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 71, 93, 124, 142, 186, 213, 248, 284, 372, 426, 568, 744, 852, 1704, 2201, 4402, 6603, 8804, 13206, 17608, 26412

Step-4: Factors of 52842

List of positive integer factors of 52842 that divides 52824 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52824 and 52842. The biggest common factor number is the GCF number.
So the greatest common factor 52824 and 52842 is 6.

Also check out the Least Common Multiple of 52824 and 52842