What is the Greatest Common Factor of 61341 and 61353?

Greatest common factor (GCF) of 61341 and 61353 is 3.

GCF(61341,61353) = 3

We will now calculate the prime factors of 61341 and 61353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61341 and 61353.

How to find the GCF of 61341 and 61353?

We will first find the prime factorization of 61341 and 61353. After we will calculate the factors of 61341 and 61353 and find the biggest common factor number .

Step-1: Prime Factorization of 61341

Prime factors of 61341 are 3, 7, 23, 127. Prime factorization of 61341 in exponential form is:

61341 = 3¹ × 7¹ × 23¹ × 127¹

Step-2: 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-3: Factors of 61341

List of positive integer factors of 61341 that divides 61341 without a remainder.

1, 3, 7, 21, 23, 69, 127, 161, 381, 483, 889, 2667, 2921, 8763, 20447

Step-4: Factors of 61353

List of positive integer factors of 61353 that divides 61341 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61341 and 61353. The biggest common factor number is the GCF number.
So the greatest common factor 61341 and 61353 is 3.

Also check out the Least Common Multiple of 61341 and 61353