What is the Greatest Common Factor of 34830 and 34840?

Greatest common factor (GCF) of 34830 and 34840 is 10.

GCF(34830,34840) = 10

We will now calculate the prime factors of 34830 and 34840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34830 and 34840.

How to find the GCF of 34830 and 34840?

We will first find the prime factorization of 34830 and 34840. After we will calculate the factors of 34830 and 34840 and find the biggest common factor number .

Step-1: Prime Factorization of 34830

Prime factors of 34830 are 2, 3, 5, 43. Prime factorization of 34830 in exponential form is:

34830 = 2¹ × 3⁴ × 5¹ × 43¹

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 34830

List of positive integer factors of 34830 that divides 34830 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 43, 45, 54, 81, 86, 90, 129, 135, 162, 215, 258, 270, 387, 405, 430, 645, 774, 810, 1161, 1290, 1935, 2322, 3483, 3870, 5805, 6966, 11610, 17415

Step-4: Factors of 34840

List of positive integer factors of 34840 that divides 34830 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 34830 and 34840. The biggest common factor number is the GCF number.
So the greatest common factor 34830 and 34840 is 10.

Also check out the Least Common Multiple of 34830 and 34840