What is the Greatest Common Factor of 43834 and 43853?

Greatest common factor (GCF) of 43834 and 43853 is 1.

GCF(43834,43853) = 1

We will now calculate the prime factors of 43834 and 43853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43834 and 43853.

How to find the GCF of 43834 and 43853?

We will first find the prime factorization of 43834 and 43853. After we will calculate the factors of 43834 and 43853 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 43853

Prime factors of 43853 are 43853. Prime factorization of 43853 in exponential form is:

43853 = 43853¹

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 43853

List of positive integer factors of 43853 that divides 43834 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43834 and 43853. The biggest common factor number is the GCF number.
So the greatest common factor 43834 and 43853 is 1.

Also check out the Least Common Multiple of 43834 and 43853