What is the Greatest Common Factor of 61353 and 61368?

Greatest common factor (GCF) of 61353 and 61368 is 3.

GCF(61353,61368) = 3

We will now calculate the prime factors of 61353 and 61368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61353 and 61368.

How to find the GCF of 61353 and 61368?

We will first find the prime factorization of 61353 and 61368. After we will calculate the factors of 61353 and 61368 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 61368

Prime factors of 61368 are 2, 3, 2557. Prime factorization of 61368 in exponential form is:

61368 = 2³ × 3¹ × 2557¹

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 61368

List of positive integer factors of 61368 that divides 61353 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2557, 5114, 7671, 10228, 15342, 20456, 30684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61353 and 61368. The biggest common factor number is the GCF number.
So the greatest common factor 61353 and 61368 is 3.

Also check out the Least Common Multiple of 61353 and 61368