What is the Greatest Common Factor of 34536 and 34543?

Greatest common factor (GCF) of 34536 and 34543 is 1.

GCF(34536,34543) = 1

We will now calculate the prime factors of 34536 and 34543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34536 and 34543.

How to find the GCF of 34536 and 34543?

We will first find the prime factorization of 34536 and 34543. After we will calculate the factors of 34536 and 34543 and find the biggest common factor number .

Step-1: Prime Factorization of 34536

Prime factors of 34536 are 2, 3, 1439. Prime factorization of 34536 in exponential form is:

34536 = 2³ × 3¹ × 1439¹

Step-2: Prime Factorization of 34543

Prime factors of 34543 are 34543. Prime factorization of 34543 in exponential form is:

34543 = 34543¹

Step-3: Factors of 34536

List of positive integer factors of 34536 that divides 34536 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1439, 2878, 4317, 5756, 8634, 11512, 17268

Step-4: Factors of 34543

List of positive integer factors of 34543 that divides 34536 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34536 and 34543. The biggest common factor number is the GCF number.
So the greatest common factor 34536 and 34543 is 1.

Also check out the Least Common Multiple of 34536 and 34543