What is the Greatest Common Factor of 43834 and 43852?

Greatest common factor (GCF) of 43834 and 43852 is 2.

GCF(43834,43852) = 2

We will now calculate the prime factors of 43834 and 43852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43834 and 43852.

How to find the GCF of 43834 and 43852?

We will first find the prime factorization of 43834 and 43852. After we will calculate the factors of 43834 and 43852 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 43852

Prime factors of 43852 are 2, 19, 577. Prime factorization of 43852 in exponential form is:

43852 = 2² × 19¹ × 577¹

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 43852

List of positive integer factors of 43852 that divides 43834 without a remainder.

1, 2, 4, 19, 38, 76, 577, 1154, 2308, 10963, 21926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43834 and 43852. The biggest common factor number is the GCF number.
So the greatest common factor 43834 and 43852 is 2.

Also check out the Least Common Multiple of 43834 and 43852