What is the Greatest Common Factor of 64323 and 64338?

Greatest common factor (GCF) of 64323 and 64338 is 3.

GCF(64323,64338) = 3

We will now calculate the prime factors of 64323 and 64338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64323 and 64338.

How to find the GCF of 64323 and 64338?

We will first find the prime factorization of 64323 and 64338. After we will calculate the factors of 64323 and 64338 and find the biggest common factor number .

Step-1: Prime Factorization of 64323

Prime factors of 64323 are 3, 7, 1021. Prime factorization of 64323 in exponential form is:

64323 = 3² × 7¹ × 1021¹

Step-2: Prime Factorization of 64338

Prime factors of 64338 are 2, 3, 10723. Prime factorization of 64338 in exponential form is:

64338 = 2¹ × 3¹ × 10723¹

Step-3: Factors of 64323

List of positive integer factors of 64323 that divides 64323 without a remainder.

1, 3, 7, 9, 21, 63, 1021, 3063, 7147, 9189, 21441

Step-4: Factors of 64338

List of positive integer factors of 64338 that divides 64323 without a remainder.

1, 2, 3, 6, 10723, 21446, 32169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64323 and 64338. The biggest common factor number is the GCF number.
So the greatest common factor 64323 and 64338 is 3.

Also check out the Least Common Multiple of 64323 and 64338