What is the Greatest Common Factor of 69828 and 69839?

Greatest common factor (GCF) of 69828 and 69839 is 11.

GCF(69828,69839) = 11

We will now calculate the prime factors of 69828 and 69839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69828 and 69839.

How to find the GCF of 69828 and 69839?

We will first find the prime factorization of 69828 and 69839. After we will calculate the factors of 69828 and 69839 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69839

Prime factors of 69839 are 7, 11, 907. Prime factorization of 69839 in exponential form is:

69839 = 7¹ × 11¹ × 907¹

Step-3: Factors of 69828

List of positive integer factors of 69828 that divides 69828 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

Step-4: Factors of 69839

List of positive integer factors of 69839 that divides 69828 without a remainder.

1, 7, 11, 77, 907, 6349, 9977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69828 and 69839. The biggest common factor number is the GCF number.
So the greatest common factor 69828 and 69839 is 11.

Also check out the Least Common Multiple of 69828 and 69839