What is the Greatest Common Factor of 61353 and 61357?

Greatest common factor (GCF) of 61353 and 61357 is 1.

GCF(61353,61357) = 1

We will now calculate the prime factors of 61353 and 61357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61353 and 61357.

How to find the GCF of 61353 and 61357?

We will first find the prime factorization of 61353 and 61357. After we will calculate the factors of 61353 and 61357 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 61357

Prime factors of 61357 are 61357. Prime factorization of 61357 in exponential form is:

61357 = 61357¹

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 61357

List of positive integer factors of 61357 that divides 61353 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61353 and 61357. The biggest common factor number is the GCF number.
So the greatest common factor 61353 and 61357 is 1.

Also check out the Least Common Multiple of 61353 and 61357