What is the Greatest Common Factor of 61353 and 61373?

Greatest common factor (GCF) of 61353 and 61373 is 1.

GCF(61353,61373) = 1

We will now calculate the prime factors of 61353 and 61373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61353 and 61373.

How to find the GCF of 61353 and 61373?

We will first find the prime factorization of 61353 and 61373. After we will calculate the factors of 61353 and 61373 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 61373

Prime factors of 61373 are 13, 4721. Prime factorization of 61373 in exponential form is:

61373 = 13¹ × 4721¹

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 61373

List of positive integer factors of 61373 that divides 61353 without a remainder.

1, 13, 4721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61353 and 61373. The biggest common factor number is the GCF number.
So the greatest common factor 61353 and 61373 is 1.

Also check out the Least Common Multiple of 61353 and 61373