What is the Greatest Common Factor of 69816 and 69828?

Greatest common factor (GCF) of 69816 and 69828 is 12.

GCF(69816,69828) = 12

We will now calculate the prime factors of 69816 and 69828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69816 and 69828.

How to find the GCF of 69816 and 69828?

We will first find the prime factorization of 69816 and 69828. After we will calculate the factors of 69816 and 69828 and find the biggest common factor number .

Step-1: Prime Factorization of 69816

Prime factors of 69816 are 2, 3, 2909. Prime factorization of 69816 in exponential form is:

69816 = 2³ × 3¹ × 2909¹

Step-2: Prime Factorization of 69828

Prime factors of 69828 are 2, 3, 11, 23. Prime factorization of 69828 in exponential form is:

69828 = 2² × 3¹ × 11¹ × 23²

Step-3: Factors of 69816

List of positive integer factors of 69816 that divides 69816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2909, 5818, 8727, 11636, 17454, 23272, 34908

Step-4: Factors of 69828

List of positive integer factors of 69828 that divides 69816 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 529, 759, 1012, 1058, 1518, 1587, 2116, 3036, 3174, 5819, 6348, 11638, 17457, 23276, 34914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69816 and 69828. The biggest common factor number is the GCF number.
So the greatest common factor 69816 and 69828 is 12.

Also check out the Least Common Multiple of 69816 and 69828