What is the Greatest Common Factor of 43798 and 43814?

Greatest common factor (GCF) of 43798 and 43814 is 2.

GCF(43798,43814) = 2

We will now calculate the prime factors of 43798 and 43814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43798 and 43814.

How to find the GCF of 43798 and 43814?

We will first find the prime factorization of 43798 and 43814. After we will calculate the factors of 43798 and 43814 and find the biggest common factor number .

Step-1: Prime Factorization of 43798

Prime factors of 43798 are 2, 61, 359. Prime factorization of 43798 in exponential form is:

43798 = 2¹ × 61¹ × 359¹

Step-2: Prime Factorization of 43814

Prime factors of 43814 are 2, 19, 1153. Prime factorization of 43814 in exponential form is:

43814 = 2¹ × 19¹ × 1153¹

Step-3: Factors of 43798

List of positive integer factors of 43798 that divides 43798 without a remainder.

1, 2, 61, 122, 359, 718, 21899

Step-4: Factors of 43814

List of positive integer factors of 43814 that divides 43798 without a remainder.

1, 2, 19, 38, 1153, 2306, 21907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43798 and 43814. The biggest common factor number is the GCF number.
So the greatest common factor 43798 and 43814 is 2.

Also check out the Least Common Multiple of 43798 and 43814