What is the Greatest Common Factor of 43862 and 43869?

Greatest common factor (GCF) of 43862 and 43869 is 7.

GCF(43862,43869) = 7

We will now calculate the prime factors of 43862 and 43869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43862 and 43869.

How to find the GCF of 43862 and 43869?

We will first find the prime factorization of 43862 and 43869. After we will calculate the factors of 43862 and 43869 and find the biggest common factor number .

Step-1: Prime Factorization of 43862

Prime factors of 43862 are 2, 7, 13, 241. Prime factorization of 43862 in exponential form is:

43862 = 2¹ × 7¹ × 13¹ × 241¹

Step-2: Prime Factorization of 43869

Prime factors of 43869 are 3, 7, 2089. Prime factorization of 43869 in exponential form is:

43869 = 3¹ × 7¹ × 2089¹

Step-3: Factors of 43862

List of positive integer factors of 43862 that divides 43862 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 241, 482, 1687, 3133, 3374, 6266, 21931

Step-4: Factors of 43869

List of positive integer factors of 43869 that divides 43862 without a remainder.

1, 3, 7, 21, 2089, 6267, 14623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43862 and 43869. The biggest common factor number is the GCF number.
So the greatest common factor 43862 and 43869 is 7.

Also check out the Least Common Multiple of 43862 and 43869