What is the Greatest Common Factor of 60993 and 61010?

Greatest common factor (GCF) of 60993 and 61010 is 1.

GCF(60993,61010) = 1

We will now calculate the prime factors of 60993 and 61010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60993 and 61010.

How to find the GCF of 60993 and 61010?

We will first find the prime factorization of 60993 and 61010. After we will calculate the factors of 60993 and 61010 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 61010

Prime factors of 61010 are 2, 5, 6101. Prime factorization of 61010 in exponential form is:

61010 = 2¹ × 5¹ × 6101¹

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 61010

List of positive integer factors of 61010 that divides 60993 without a remainder.

1, 2, 5, 10, 6101, 12202, 30505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60993 and 61010. The biggest common factor number is the GCF number.
So the greatest common factor 60993 and 61010 is 1.

Also check out the Least Common Multiple of 60993 and 61010