What is the Greatest Common Factor of 69816 and 69834?

Greatest common factor (GCF) of 69816 and 69834 is 6.

GCF(69816,69834) = 6

We will now calculate the prime factors of 69816 and 69834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69816 and 69834.

How to find the GCF of 69816 and 69834?

We will first find the prime factorization of 69816 and 69834. After we will calculate the factors of 69816 and 69834 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 69834

Prime factors of 69834 are 2, 3, 103, 113. Prime factorization of 69834 in exponential form is:

69834 = 2¹ × 3¹ × 103¹ × 113¹

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 69834

List of positive integer factors of 69834 that divides 69816 without a remainder.

1, 2, 3, 6, 103, 113, 206, 226, 309, 339, 618, 678, 11639, 23278, 34917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69816 and 69834. The biggest common factor number is the GCF number.
So the greatest common factor 69816 and 69834 is 6.

Also check out the Least Common Multiple of 69816 and 69834