What is the Greatest Common Factor of 93772 and 93789?

Greatest common factor (GCF) of 93772 and 93789 is 17.

GCF(93772,93789) = 17

We will now calculate the prime factors of 93772 and 93789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93772 and 93789.

How to find the GCF of 93772 and 93789?

We will first find the prime factorization of 93772 and 93789. After we will calculate the factors of 93772 and 93789 and find the biggest common factor number .

Step-1: Prime Factorization of 93772

Prime factors of 93772 are 2, 7, 17, 197. Prime factorization of 93772 in exponential form is:

93772 = 2² × 7¹ × 17¹ × 197¹

Step-2: Prime Factorization of 93789

Prime factors of 93789 are 3, 17, 613. Prime factorization of 93789 in exponential form is:

93789 = 3² × 17¹ × 613¹

Step-3: Factors of 93772

List of positive integer factors of 93772 that divides 93772 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 197, 238, 394, 476, 788, 1379, 2758, 3349, 5516, 6698, 13396, 23443, 46886

Step-4: Factors of 93789

List of positive integer factors of 93789 that divides 93772 without a remainder.

1, 3, 9, 17, 51, 153, 613, 1839, 5517, 10421, 31263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93772 and 93789. The biggest common factor number is the GCF number.
So the greatest common factor 93772 and 93789 is 17.

Also check out the Least Common Multiple of 93772 and 93789