What is the Greatest Common Factor of 61338 and 61343?

Greatest common factor (GCF) of 61338 and 61343 is 1.

GCF(61338,61343) = 1

We will now calculate the prime factors of 61338 and 61343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61338 and 61343.

How to find the GCF of 61338 and 61343?

We will first find the prime factorization of 61338 and 61343. After we will calculate the factors of 61338 and 61343 and find the biggest common factor number .

Step-1: Prime Factorization of 61338

Prime factors of 61338 are 2, 3, 10223. Prime factorization of 61338 in exponential form is:

61338 = 2¹ × 3¹ × 10223¹

Step-2: Prime Factorization of 61343

Prime factors of 61343 are 61343. Prime factorization of 61343 in exponential form is:

61343 = 61343¹

Step-3: Factors of 61338

List of positive integer factors of 61338 that divides 61338 without a remainder.

1, 2, 3, 6, 10223, 20446, 30669

Step-4: Factors of 61343

List of positive integer factors of 61343 that divides 61338 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61338 and 61343. The biggest common factor number is the GCF number.
So the greatest common factor 61338 and 61343 is 1.

Also check out the Least Common Multiple of 61338 and 61343