What is the Greatest Common Factor of 43844 and 43854?

Greatest common factor (GCF) of 43844 and 43854 is 2.

GCF(43844,43854) = 2

We will now calculate the prime factors of 43844 and 43854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43844 and 43854.

How to find the GCF of 43844 and 43854?

We will first find the prime factorization of 43844 and 43854. After we will calculate the factors of 43844 and 43854 and find the biggest common factor number .

Step-1: Prime Factorization of 43844

Prime factors of 43844 are 2, 97, 113. Prime factorization of 43844 in exponential form is:

43844 = 2² × 97¹ × 113¹

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 43844

List of positive integer factors of 43844 that divides 43844 without a remainder.

1, 2, 4, 97, 113, 194, 226, 388, 452, 10961, 21922

Step-4: Factors of 43854

List of positive integer factors of 43854 that divides 43844 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43844 and 43854. The biggest common factor number is the GCF number.
So the greatest common factor 43844 and 43854 is 2.

Also check out the Least Common Multiple of 43844 and 43854