What is the Greatest Common Factor of 52809 and 52824?

Greatest common factor (GCF) of 52809 and 52824 is 3.

GCF(52809,52824) = 3

We will now calculate the prime factors of 52809 and 52824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52809 and 52824.

How to find the GCF of 52809 and 52824?

We will first find the prime factorization of 52809 and 52824. After we will calculate the factors of 52809 and 52824 and find the biggest common factor number .

Step-1: Prime Factorization of 52809

Prime factors of 52809 are 3, 29, 607. Prime factorization of 52809 in exponential form is:

52809 = 3¹ × 29¹ × 607¹

Step-2: 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-3: Factors of 52809

List of positive integer factors of 52809 that divides 52809 without a remainder.

1, 3, 29, 87, 607, 1821, 17603

Step-4: Factors of 52824

List of positive integer factors of 52824 that divides 52809 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52809 and 52824. The biggest common factor number is the GCF number.
So the greatest common factor 52809 and 52824 is 3.

Also check out the Least Common Multiple of 52809 and 52824