What is the Greatest Common Factor of 69696 and 69712?

Greatest common factor (GCF) of 69696 and 69712 is 16.

GCF(69696,69712) = 16

We will now calculate the prime factors of 69696 and 69712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69696 and 69712.

How to find the GCF of 69696 and 69712?

We will first find the prime factorization of 69696 and 69712. After we will calculate the factors of 69696 and 69712 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 69712

Prime factors of 69712 are 2, 4357. Prime factorization of 69712 in exponential form is:

69712 = 2⁴ × 4357¹

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 69712

List of positive integer factors of 69712 that divides 69696 without a remainder.

1, 2, 4, 8, 16, 4357, 8714, 17428, 34856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69696 and 69712. The biggest common factor number is the GCF number.
So the greatest common factor 69696 and 69712 is 16.

Also check out the Least Common Multiple of 69696 and 69712