What is the Greatest Common Factor of 59985 and 59994?

Greatest common factor (GCF) of 59985 and 59994 is 9.

GCF(59985,59994) = 9

We will now calculate the prime factors of 59985 and 59994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59985 and 59994.

How to find the GCF of 59985 and 59994?

We will first find the prime factorization of 59985 and 59994. After we will calculate the factors of 59985 and 59994 and find the biggest common factor number .

Step-1: Prime Factorization of 59985

Prime factors of 59985 are 3, 5, 31, 43. Prime factorization of 59985 in exponential form is:

59985 = 3² × 5¹ × 31¹ × 43¹

Step-2: Prime Factorization of 59994

Prime factors of 59994 are 2, 3, 11, 101. Prime factorization of 59994 in exponential form is:

59994 = 2¹ × 3³ × 11¹ × 101¹

Step-3: Factors of 59985

List of positive integer factors of 59985 that divides 59985 without a remainder.

1, 3, 5, 9, 15, 31, 43, 45, 93, 129, 155, 215, 279, 387, 465, 645, 1333, 1395, 1935, 3999, 6665, 11997, 19995

Step-4: Factors of 59994

List of positive integer factors of 59994 that divides 59985 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 101, 198, 202, 297, 303, 594, 606, 909, 1111, 1818, 2222, 2727, 3333, 5454, 6666, 9999, 19998, 29997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59985 and 59994. The biggest common factor number is the GCF number.
So the greatest common factor 59985 and 59994 is 9.

Also check out the Least Common Multiple of 59985 and 59994