What is the Greatest Common Factor of 69696 and 69716?

Greatest common factor (GCF) of 69696 and 69716 is 4.

GCF(69696,69716) = 4

We will now calculate the prime factors of 69696 and 69716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69696 and 69716.

How to find the GCF of 69696 and 69716?

We will first find the prime factorization of 69696 and 69716. After we will calculate the factors of 69696 and 69716 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69716

Prime factors of 69716 are 2, 29, 601. Prime factorization of 69716 in exponential form is:

69716 = 2² × 29¹ × 601¹

Step-3: Factors of 69696

List of positive integer factors of 69696 that divides 69696 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

Step-4: Factors of 69716

List of positive integer factors of 69716 that divides 69696 without a remainder.

1, 2, 4, 29, 58, 116, 601, 1202, 2404, 17429, 34858

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69696 and 69716. The biggest common factor number is the GCF number.
So the greatest common factor 69696 and 69716 is 4.

Also check out the Least Common Multiple of 69696 and 69716