What is the Greatest Common Factor of 61017 and 61032?

Greatest common factor (GCF) of 61017 and 61032 is 3.

GCF(61017,61032) = 3

We will now calculate the prime factors of 61017 and 61032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61017 and 61032.

How to find the GCF of 61017 and 61032?

We will first find the prime factorization of 61017 and 61032. After we will calculate the factors of 61017 and 61032 and find the biggest common factor number .

Step-1: Prime Factorization of 61017

Prime factors of 61017 are 3, 11, 43. Prime factorization of 61017 in exponential form is:

61017 = 3¹ × 11¹ × 43²

Step-2: Prime Factorization of 61032

Prime factors of 61032 are 2, 3, 2543. Prime factorization of 61032 in exponential form is:

61032 = 2³ × 3¹ × 2543¹

Step-3: Factors of 61017

List of positive integer factors of 61017 that divides 61017 without a remainder.

1, 3, 11, 33, 43, 129, 473, 1419, 1849, 5547, 20339

Step-4: Factors of 61032

List of positive integer factors of 61032 that divides 61017 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2543, 5086, 7629, 10172, 15258, 20344, 30516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61017 and 61032. The biggest common factor number is the GCF number.
So the greatest common factor 61017 and 61032 is 3.

Also check out the Least Common Multiple of 61017 and 61032