What is the Greatest Common Factor of 93993 and 94010?

Greatest common factor (GCF) of 93993 and 94010 is 17.

GCF(93993,94010) = 17

We will now calculate the prime factors of 93993 and 94010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93993 and 94010.

How to find the GCF of 93993 and 94010?

We will first find the prime factorization of 93993 and 94010. After we will calculate the factors of 93993 and 94010 and find the biggest common factor number .

Step-1: Prime Factorization of 93993

Prime factors of 93993 are 3, 17, 19, 97. Prime factorization of 93993 in exponential form is:

93993 = 3¹ × 17¹ × 19¹ × 97¹

Step-2: Prime Factorization of 94010

Prime factors of 94010 are 2, 5, 7, 17, 79. Prime factorization of 94010 in exponential form is:

94010 = 2¹ × 5¹ × 7¹ × 17¹ × 79¹

Step-3: Factors of 93993

List of positive integer factors of 93993 that divides 93993 without a remainder.

1, 3, 17, 19, 51, 57, 97, 291, 323, 969, 1649, 1843, 4947, 5529, 31331

Step-4: Factors of 94010

List of positive integer factors of 94010 that divides 93993 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 79, 85, 119, 158, 170, 238, 395, 553, 595, 790, 1106, 1190, 1343, 2686, 2765, 5530, 6715, 9401, 13430, 18802, 47005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93993 and 94010. The biggest common factor number is the GCF number.
So the greatest common factor 93993 and 94010 is 17.

Also check out the Least Common Multiple of 93993 and 94010