What is the Greatest Common Factor of 61461 and 61479?

Greatest common factor (GCF) of 61461 and 61479 is 9.

GCF(61461,61479) = 9

We will now calculate the prime factors of 61461 and 61479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61461 and 61479.

How to find the GCF of 61461 and 61479?

We will first find the prime factorization of 61461 and 61479. After we will calculate the factors of 61461 and 61479 and find the biggest common factor number .

Step-1: Prime Factorization of 61461

Prime factors of 61461 are 3, 6829. Prime factorization of 61461 in exponential form is:

61461 = 3² × 6829¹

Step-2: Prime Factorization of 61479

Prime factors of 61479 are 3, 11, 23. Prime factorization of 61479 in exponential form is:

61479 = 3⁵ × 11¹ × 23¹

Step-3: Factors of 61461

List of positive integer factors of 61461 that divides 61461 without a remainder.

1, 3, 9, 6829, 20487

Step-4: Factors of 61479

List of positive integer factors of 61479 that divides 61461 without a remainder.

1, 3, 9, 11, 23, 27, 33, 69, 81, 99, 207, 243, 253, 297, 621, 759, 891, 1863, 2277, 2673, 5589, 6831, 20493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61461 and 61479. The biggest common factor number is the GCF number.
So the greatest common factor 61461 and 61479 is 9.

Also check out the Least Common Multiple of 61461 and 61479