What is the Greatest Common Factor of 93692 and 93696?

Greatest common factor (GCF) of 93692 and 93696 is 4.

GCF(93692,93696) = 4

We will now calculate the prime factors of 93692 and 93696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93692 and 93696.

How to find the GCF of 93692 and 93696?

We will first find the prime factorization of 93692 and 93696. After we will calculate the factors of 93692 and 93696 and find the biggest common factor number .

Step-1: Prime Factorization of 93692

Prime factors of 93692 are 2, 59, 397. Prime factorization of 93692 in exponential form is:

93692 = 2² × 59¹ × 397¹

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 93692

List of positive integer factors of 93692 that divides 93692 without a remainder.

1, 2, 4, 59, 118, 236, 397, 794, 1588, 23423, 46846

Step-4: Factors of 93696

List of positive integer factors of 93696 that divides 93692 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 93692 and 93696. The biggest common factor number is the GCF number.
So the greatest common factor 93692 and 93696 is 4.

Also check out the Least Common Multiple of 93692 and 93696