What is the Greatest Common Factor of 34827 and 34840?

Greatest common factor (GCF) of 34827 and 34840 is 13.

GCF(34827,34840) = 13

We will now calculate the prime factors of 34827 and 34840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34827 and 34840.

How to find the GCF of 34827 and 34840?

We will first find the prime factorization of 34827 and 34840. After we will calculate the factors of 34827 and 34840 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 34840

Prime factors of 34840 are 2, 5, 13, 67. Prime factorization of 34840 in exponential form is:

34840 = 2³ × 5¹ × 13¹ × 67¹

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 34840

List of positive integer factors of 34840 that divides 34827 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 67, 104, 130, 134, 260, 268, 335, 520, 536, 670, 871, 1340, 1742, 2680, 3484, 4355, 6968, 8710, 17420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34827 and 34840. The biggest common factor number is the GCF number.
So the greatest common factor 34827 and 34840 is 13.

Also check out the Least Common Multiple of 34827 and 34840