What is the Greatest Common Factor of 43930 and 43949?

Greatest common factor (GCF) of 43930 and 43949 is 1.

GCF(43930,43949) = 1

We will now calculate the prime factors of 43930 and 43949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43930 and 43949.

How to find the GCF of 43930 and 43949?

We will first find the prime factorization of 43930 and 43949. After we will calculate the factors of 43930 and 43949 and find the biggest common factor number .

Step-1: Prime Factorization of 43930

Prime factors of 43930 are 2, 5, 23, 191. Prime factorization of 43930 in exponential form is:

43930 = 2¹ × 5¹ × 23¹ × 191¹

Step-2: Prime Factorization of 43949

Prime factors of 43949 are 71, 619. Prime factorization of 43949 in exponential form is:

43949 = 71¹ × 619¹

Step-3: Factors of 43930

List of positive integer factors of 43930 that divides 43930 without a remainder.

1, 2, 5, 10, 23, 46, 115, 191, 230, 382, 955, 1910, 4393, 8786, 21965

Step-4: Factors of 43949

List of positive integer factors of 43949 that divides 43930 without a remainder.

1, 71, 619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43930 and 43949. The biggest common factor number is the GCF number.
So the greatest common factor 43930 and 43949 is 1.

Also check out the Least Common Multiple of 43930 and 43949