What is the Greatest Common Factor of 43834 and 43854?

Greatest common factor (GCF) of 43834 and 43854 is 2.

GCF(43834,43854) = 2

We will now calculate the prime factors of 43834 and 43854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43834 and 43854.

How to find the GCF of 43834 and 43854?

We will first find the prime factorization of 43834 and 43854. After we will calculate the factors of 43834 and 43854 and find the biggest common factor number .

Step-1: Prime Factorization of 43834

Prime factors of 43834 are 2, 7, 31, 101. Prime factorization of 43834 in exponential form is:

43834 = 2¹ × 7¹ × 31¹ × 101¹

Step-2: Prime Factorization of 43854

Prime factors of 43854 are 2, 3, 7309. Prime factorization of 43854 in exponential form is:

43854 = 2¹ × 3¹ × 7309¹

Step-3: Factors of 43834

List of positive integer factors of 43834 that divides 43834 without a remainder.

1, 2, 7, 14, 31, 62, 101, 202, 217, 434, 707, 1414, 3131, 6262, 21917

Step-4: Factors of 43854

List of positive integer factors of 43854 that divides 43834 without a remainder.

1, 2, 3, 6, 7309, 14618, 21927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43834 and 43854. The biggest common factor number is the GCF number.
So the greatest common factor 43834 and 43854 is 2.

Also check out the Least Common Multiple of 43834 and 43854