What is the Greatest Common Factor of 43854 and 43864?

Greatest common factor (GCF) of 43854 and 43864 is 2.

GCF(43854,43864) = 2

We will now calculate the prime factors of 43854 and 43864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43854 and 43864.

How to find the GCF of 43854 and 43864?

We will first find the prime factorization of 43854 and 43864. After we will calculate the factors of 43854 and 43864 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43864

Prime factors of 43864 are 2, 5483. Prime factorization of 43864 in exponential form is:

43864 = 2³ × 5483¹

Step-3: Factors of 43854

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

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

Step-4: Factors of 43864

List of positive integer factors of 43864 that divides 43854 without a remainder.

1, 2, 4, 8, 5483, 10966, 21932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43854 and 43864. The biggest common factor number is the GCF number.
So the greatest common factor 43854 and 43864 is 2.

Also check out the Least Common Multiple of 43854 and 43864