What is the Greatest Common Factor of 61353 and 61369?

Greatest common factor (GCF) of 61353 and 61369 is 1.

GCF(61353,61369) = 1

We will now calculate the prime factors of 61353 and 61369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61353 and 61369.

How to find the GCF of 61353 and 61369?

We will first find the prime factorization of 61353 and 61369. After we will calculate the factors of 61353 and 61369 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 61369

Prime factors of 61369 are 7, 11, 797. Prime factorization of 61369 in exponential form is:

61369 = 7¹ × 11¹ × 797¹

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 61369

List of positive integer factors of 61369 that divides 61353 without a remainder.

1, 7, 11, 77, 797, 5579, 8767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61353 and 61369. The biggest common factor number is the GCF number.
So the greatest common factor 61353 and 61369 is 1.

Also check out the Least Common Multiple of 61353 and 61369