What is the Greatest Common Factor of 34845 and 34864?

Greatest common factor (GCF) of 34845 and 34864 is 1.

GCF(34845,34864) = 1

We will now calculate the prime factors of 34845 and 34864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34845 and 34864.

How to find the GCF of 34845 and 34864?

We will first find the prime factorization of 34845 and 34864. After we will calculate the factors of 34845 and 34864 and find the biggest common factor number .

Step-1: Prime Factorization of 34845

Prime factors of 34845 are 3, 5, 23, 101. Prime factorization of 34845 in exponential form is:

34845 = 3¹ × 5¹ × 23¹ × 101¹

Step-2: Prime Factorization of 34864

Prime factors of 34864 are 2, 2179. Prime factorization of 34864 in exponential form is:

34864 = 2⁴ × 2179¹

Step-3: Factors of 34845

List of positive integer factors of 34845 that divides 34845 without a remainder.

1, 3, 5, 15, 23, 69, 101, 115, 303, 345, 505, 1515, 2323, 6969, 11615

Step-4: Factors of 34864

List of positive integer factors of 34864 that divides 34845 without a remainder.

1, 2, 4, 8, 16, 2179, 4358, 8716, 17432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34845 and 34864. The biggest common factor number is the GCF number.
So the greatest common factor 34845 and 34864 is 1.

Also check out the Least Common Multiple of 34845 and 34864