What is the Greatest Common Factor of 34827 and 34845?

Greatest common factor (GCF) of 34827 and 34845 is 3.

GCF(34827,34845) = 3

We will now calculate the prime factors of 34827 and 34845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34827 and 34845.

How to find the GCF of 34827 and 34845?

We will first find the prime factorization of 34827 and 34845. After we will calculate the factors of 34827 and 34845 and find the biggest common factor number .

Step-1: Prime Factorization of 34827

Prime factors of 34827 are 3, 13, 19, 47. Prime factorization of 34827 in exponential form is:

34827 = 3¹ × 13¹ × 19¹ × 47¹

Step-2: 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-3: Factors of 34827

List of positive integer factors of 34827 that divides 34827 without a remainder.

1, 3, 13, 19, 39, 47, 57, 141, 247, 611, 741, 893, 1833, 2679, 11609

Step-4: Factors of 34845

List of positive integer factors of 34845 that divides 34827 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34827 and 34845. The biggest common factor number is the GCF number.
So the greatest common factor 34827 and 34845 is 3.

Also check out the Least Common Multiple of 34827 and 34845