What is the Greatest Common Factor of 69685 and 69696?

Greatest common factor (GCF) of 69685 and 69696 is 11.

GCF(69685,69696) = 11

We will now calculate the prime factors of 69685 and 69696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69685 and 69696.

How to find the GCF of 69685 and 69696?

We will first find the prime factorization of 69685 and 69696. After we will calculate the factors of 69685 and 69696 and find the biggest common factor number .

Step-1: Prime Factorization of 69685

Prime factors of 69685 are 5, 7, 11, 181. Prime factorization of 69685 in exponential form is:

69685 = 5¹ × 7¹ × 11¹ × 181¹

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 69685

List of positive integer factors of 69685 that divides 69685 without a remainder.

1, 5, 7, 11, 35, 55, 77, 181, 385, 905, 1267, 1991, 6335, 9955, 13937

Step-4: Factors of 69696

List of positive integer factors of 69696 that divides 69685 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 69685 and 69696. The biggest common factor number is the GCF number.
So the greatest common factor 69685 and 69696 is 11.

Also check out the Least Common Multiple of 69685 and 69696