What is the Greatest Common Factor of 60993 and 61005?

Greatest common factor (GCF) of 60993 and 61005 is 3.

GCF(60993,61005) = 3

We will now calculate the prime factors of 60993 and 61005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60993 and 61005.

How to find the GCF of 60993 and 61005?

We will first find the prime factorization of 60993 and 61005. After we will calculate the factors of 60993 and 61005 and find the biggest common factor number .

Step-1: Prime Factorization of 60993

Prime factors of 60993 are 3, 251. Prime factorization of 60993 in exponential form is:

60993 = 3⁵ × 251¹

Step-2: Prime Factorization of 61005

Prime factors of 61005 are 3, 5, 7, 83. Prime factorization of 61005 in exponential form is:

61005 = 3¹ × 5¹ × 7² × 83¹

Step-3: Factors of 60993

List of positive integer factors of 60993 that divides 60993 without a remainder.

1, 3, 9, 27, 81, 243, 251, 753, 2259, 6777, 20331

Step-4: Factors of 61005

List of positive integer factors of 61005 that divides 60993 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 83, 105, 147, 245, 249, 415, 581, 735, 1245, 1743, 2905, 4067, 8715, 12201, 20335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60993 and 61005. The biggest common factor number is the GCF number.
So the greatest common factor 60993 and 61005 is 3.

Also check out the Least Common Multiple of 60993 and 61005