What is the Greatest Common Factor of 61581 and 61594?

Greatest common factor (GCF) of 61581 and 61594 is 13.

GCF(61581,61594) = 13

We will now calculate the prime factors of 61581 and 61594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61581 and 61594.

How to find the GCF of 61581 and 61594?

We will first find the prime factorization of 61581 and 61594. After we will calculate the factors of 61581 and 61594 and find the biggest common factor number .

Step-1: Prime Factorization of 61581

Prime factors of 61581 are 3, 13, 1579. Prime factorization of 61581 in exponential form is:

61581 = 3¹ × 13¹ × 1579¹

Step-2: Prime Factorization of 61594

Prime factors of 61594 are 2, 13, 23, 103. Prime factorization of 61594 in exponential form is:

61594 = 2¹ × 13¹ × 23¹ × 103¹

Step-3: Factors of 61581

List of positive integer factors of 61581 that divides 61581 without a remainder.

1, 3, 13, 39, 1579, 4737, 20527

Step-4: Factors of 61594

List of positive integer factors of 61594 that divides 61581 without a remainder.

1, 2, 13, 23, 26, 46, 103, 206, 299, 598, 1339, 2369, 2678, 4738, 30797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61581 and 61594. The biggest common factor number is the GCF number.
So the greatest common factor 61581 and 61594 is 13.

Also check out the Least Common Multiple of 61581 and 61594