What is the Greatest Common Factor of 61353 and 61361?

Greatest common factor (GCF) of 61353 and 61361 is 1.

GCF(61353,61361) = 1

We will now calculate the prime factors of 61353 and 61361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61353 and 61361.

How to find the GCF of 61353 and 61361?

We will first find the prime factorization of 61353 and 61361. After we will calculate the factors of 61353 and 61361 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 61361

Prime factors of 61361 are 43, 1427. Prime factorization of 61361 in exponential form is:

61361 = 43¹ × 1427¹

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 61361

List of positive integer factors of 61361 that divides 61353 without a remainder.

1, 43, 1427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61353 and 61361. The biggest common factor number is the GCF number.
So the greatest common factor 61353 and 61361 is 1.

Also check out the Least Common Multiple of 61353 and 61361