What is the Greatest Common Factor of 92985 and 93005?

Greatest common factor (GCF) of 92985 and 93005 is 5.

GCF(92985,93005) = 5

We will now calculate the prime factors of 92985 and 93005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92985 and 93005.

How to find the GCF of 92985 and 93005?

We will first find the prime factorization of 92985 and 93005. After we will calculate the factors of 92985 and 93005 and find the biggest common factor number .

Step-1: Prime Factorization of 92985

Prime factors of 92985 are 3, 5, 6199. Prime factorization of 92985 in exponential form is:

92985 = 3¹ × 5¹ × 6199¹

Step-2: Prime Factorization of 93005

Prime factors of 93005 are 5, 11, 19, 89. Prime factorization of 93005 in exponential form is:

93005 = 5¹ × 11¹ × 19¹ × 89¹

Step-3: Factors of 92985

List of positive integer factors of 92985 that divides 92985 without a remainder.

1, 3, 5, 15, 6199, 18597, 30995

Step-4: Factors of 93005

List of positive integer factors of 93005 that divides 92985 without a remainder.

1, 5, 11, 19, 55, 89, 95, 209, 445, 979, 1045, 1691, 4895, 8455, 18601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92985 and 93005. The biggest common factor number is the GCF number.
So the greatest common factor 92985 and 93005 is 5.

Also check out the Least Common Multiple of 92985 and 93005