What is the Greatest Common Factor of 93690 and 93696?

Greatest common factor (GCF) of 93690 and 93696 is 6.

GCF(93690,93696) = 6

We will now calculate the prime factors of 93690 and 93696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93690 and 93696.

How to find the GCF of 93690 and 93696?

We will first find the prime factorization of 93690 and 93696. After we will calculate the factors of 93690 and 93696 and find the biggest common factor number .

Step-1: Prime Factorization of 93690

Prime factors of 93690 are 2, 3, 5, 347. Prime factorization of 93690 in exponential form is:

93690 = 2¹ × 3³ × 5¹ × 347¹

Step-2: Prime Factorization of 93696

Prime factors of 93696 are 2, 3, 61. Prime factorization of 93696 in exponential form is:

93696 = 2⁹ × 3¹ × 61¹

Step-3: Factors of 93690

List of positive integer factors of 93690 that divides 93690 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 347, 694, 1041, 1735, 2082, 3123, 3470, 5205, 6246, 9369, 10410, 15615, 18738, 31230, 46845

Step-4: Factors of 93696

List of positive integer factors of 93696 that divides 93690 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 64, 96, 122, 128, 183, 192, 244, 256, 366, 384, 488, 512, 732, 768, 976, 1464, 1536, 1952, 2928, 3904, 5856, 7808, 11712, 15616, 23424, 31232, 46848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93690 and 93696. The biggest common factor number is the GCF number.
So the greatest common factor 93690 and 93696 is 6.

Also check out the Least Common Multiple of 93690 and 93696