What is the Greatest Common Factor of 61005 and 61009?

Greatest common factor (GCF) of 61005 and 61009 is 1.

GCF(61005,61009) = 1

We will now calculate the prime factors of 61005 and 61009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61005 and 61009.

How to find the GCF of 61005 and 61009?

We will first find the prime factorization of 61005 and 61009. After we will calculate the factors of 61005 and 61009 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 61009

Prime factors of 61009 are 13, 19. Prime factorization of 61009 in exponential form is:

61009 = 13² × 19²

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 61009

List of positive integer factors of 61009 that divides 61005 without a remainder.

1, 13, 19, 169, 247, 361, 3211, 4693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61005 and 61009. The biggest common factor number is the GCF number.
So the greatest common factor 61005 and 61009 is 1.

Also check out the Least Common Multiple of 61005 and 61009