What is the Greatest Common Factor of 61353 and 61371?

Greatest common factor (GCF) of 61353 and 61371 is 9.

GCF(61353,61371) = 9

We will now calculate the prime factors of 61353 and 61371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61353 and 61371.

How to find the GCF of 61353 and 61371?

We will first find the prime factorization of 61353 and 61371. After we will calculate the factors of 61353 and 61371 and find the biggest common factor number .

Step-1: Prime Factorization of 61353

Prime factors of 61353 are 3, 17, 401. Prime factorization of 61353 in exponential form is:

61353 = 3² × 17¹ × 401¹

Step-2: Prime Factorization of 61371

Prime factors of 61371 are 3, 2273. Prime factorization of 61371 in exponential form is:

61371 = 3³ × 2273¹

Step-3: Factors of 61353

List of positive integer factors of 61353 that divides 61353 without a remainder.

1, 3, 9, 17, 51, 153, 401, 1203, 3609, 6817, 20451

Step-4: Factors of 61371

List of positive integer factors of 61371 that divides 61353 without a remainder.

1, 3, 9, 27, 2273, 6819, 20457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61353 and 61371. The biggest common factor number is the GCF number.
So the greatest common factor 61353 and 61371 is 9.

Also check out the Least Common Multiple of 61353 and 61371