What is the Greatest Common Factor of 64343 and 64349?

Greatest common factor (GCF) of 64343 and 64349 is 1.

GCF(64343,64349) = 1

We will now calculate the prime factors of 64343 and 64349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64343 and 64349.

How to find the GCF of 64343 and 64349?

We will first find the prime factorization of 64343 and 64349. After we will calculate the factors of 64343 and 64349 and find the biggest common factor number .

Step-1: Prime Factorization of 64343

Prime factors of 64343 are 37, 47. Prime factorization of 64343 in exponential form is:

64343 = 37² × 47¹

Step-2: Prime Factorization of 64349

Prime factors of 64349 are 229, 281. Prime factorization of 64349 in exponential form is:

64349 = 229¹ × 281¹

Step-3: Factors of 64343

List of positive integer factors of 64343 that divides 64343 without a remainder.

1, 37, 47, 1369, 1739

Step-4: Factors of 64349

List of positive integer factors of 64349 that divides 64343 without a remainder.

1, 229, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64343 and 64349. The biggest common factor number is the GCF number.
So the greatest common factor 64343 and 64349 is 1.

Also check out the Least Common Multiple of 64343 and 64349