What is the Greatest Common Factor of 61005 and 61010?

Greatest common factor (GCF) of 61005 and 61010 is 5.

GCF(61005,61010) = 5

We will now calculate the prime factors of 61005 and 61010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61005 and 61010.

How to find the GCF of 61005 and 61010?

We will first find the prime factorization of 61005 and 61010. After we will calculate the factors of 61005 and 61010 and find the biggest common factor number .

Step-1: 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-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 61005

List of positive integer factors of 61005 that divides 61005 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

Step-4: Factors of 61010

List of positive integer factors of 61010 that divides 61005 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61005 and 61010. The biggest common factor number is the GCF number.
So the greatest common factor 61005 and 61010 is 5.

Also check out the Least Common Multiple of 61005 and 61010