What is the Greatest Common Factor of 93768 and 93783?

Greatest common factor (GCF) of 93768 and 93783 is 3.

GCF(93768,93783) = 3

We will now calculate the prime factors of 93768 and 93783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93768 and 93783.

How to find the GCF of 93768 and 93783?

We will first find the prime factorization of 93768 and 93783. After we will calculate the factors of 93768 and 93783 and find the biggest common factor number .

Step-1: Prime Factorization of 93768

Prime factors of 93768 are 2, 3, 3907. Prime factorization of 93768 in exponential form is:

93768 = 2³ × 3¹ × 3907¹

Step-2: Prime Factorization of 93783

Prime factors of 93783 are 3, 43, 727. Prime factorization of 93783 in exponential form is:

93783 = 3¹ × 43¹ × 727¹

Step-3: Factors of 93768

List of positive integer factors of 93768 that divides 93768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3907, 7814, 11721, 15628, 23442, 31256, 46884

Step-4: Factors of 93783

List of positive integer factors of 93783 that divides 93768 without a remainder.

1, 3, 43, 129, 727, 2181, 31261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93768 and 93783. The biggest common factor number is the GCF number.
So the greatest common factor 93768 and 93783 is 3.

Also check out the Least Common Multiple of 93768 and 93783