What is the Greatest Common Factor of 61009 and 61016?

Greatest common factor (GCF) of 61009 and 61016 is 1.

GCF(61009,61016) = 1

We will now calculate the prime factors of 61009 and 61016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61009 and 61016.

How to find the GCF of 61009 and 61016?

We will first find the prime factorization of 61009 and 61016. After we will calculate the factors of 61009 and 61016 and find the biggest common factor number .

Step-1: Prime Factorization of 61009

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

61009 = 13² × 19²

Step-2: Prime Factorization of 61016

Prime factors of 61016 are 2, 29, 263. Prime factorization of 61016 in exponential form is:

61016 = 2³ × 29¹ × 263¹

Step-3: Factors of 61009

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

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

Step-4: Factors of 61016

List of positive integer factors of 61016 that divides 61009 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 263, 526, 1052, 2104, 7627, 15254, 30508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61009 and 61016. The biggest common factor number is the GCF number.
So the greatest common factor 61009 and 61016 is 1.

Also check out the Least Common Multiple of 61009 and 61016