What is the Greatest Common Factor of 69684 and 69696?

Greatest common factor (GCF) of 69684 and 69696 is 12.

GCF(69684,69696) = 12

We will now calculate the prime factors of 69684 and 69696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69684 and 69696.

How to find the GCF of 69684 and 69696?

We will first find the prime factorization of 69684 and 69696. After we will calculate the factors of 69684 and 69696 and find the biggest common factor number .

Step-1: Prime Factorization of 69684

Prime factors of 69684 are 2, 3, 5807. Prime factorization of 69684 in exponential form is:

69684 = 2² × 3¹ × 5807¹

Step-2: Prime Factorization of 69696

Prime factors of 69696 are 2, 3, 11. Prime factorization of 69696 in exponential form is:

69696 = 2⁶ × 3² × 11²

Step-3: Factors of 69684

List of positive integer factors of 69684 that divides 69684 without a remainder.

1, 2, 3, 4, 6, 12, 5807, 11614, 17421, 23228, 34842

Step-4: Factors of 69696

List of positive integer factors of 69696 that divides 69684 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 121, 132, 144, 176, 192, 198, 242, 264, 288, 352, 363, 396, 484, 528, 576, 704, 726, 792, 968, 1056, 1089, 1452, 1584, 1936, 2112, 2178, 2904, 3168, 3872, 4356, 5808, 6336, 7744, 8712, 11616, 17424, 23232, 34848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69684 and 69696. The biggest common factor number is the GCF number.
So the greatest common factor 69684 and 69696 is 12.

Also check out the Least Common Multiple of 69684 and 69696