What is the Greatest Common Factor of 61563 and 61581?

Greatest common factor (GCF) of 61563 and 61581 is 3.

GCF(61563,61581) = 3

We will now calculate the prime factors of 61563 and 61581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61563 and 61581.

How to find the GCF of 61563 and 61581?

We will first find the prime factorization of 61563 and 61581. After we will calculate the factors of 61563 and 61581 and find the biggest common factor number .

Step-1: Prime Factorization of 61563

Prime factors of 61563 are 3, 20521. Prime factorization of 61563 in exponential form is:

61563 = 3¹ × 20521¹

Step-2: 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-3: Factors of 61563

List of positive integer factors of 61563 that divides 61563 without a remainder.

1, 3, 20521

Step-4: Factors of 61581

List of positive integer factors of 61581 that divides 61563 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61563 and 61581. The biggest common factor number is the GCF number.
So the greatest common factor 61563 and 61581 is 3.

Also check out the Least Common Multiple of 61563 and 61581