What is the Greatest Common Factor of 43925 and 43943?

Greatest common factor (GCF) of 43925 and 43943 is 1.

GCF(43925,43943) = 1

We will now calculate the prime factors of 43925 and 43943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43925 and 43943.

How to find the GCF of 43925 and 43943?

We will first find the prime factorization of 43925 and 43943. After we will calculate the factors of 43925 and 43943 and find the biggest common factor number .

Step-1: Prime Factorization of 43925

Prime factors of 43925 are 5, 7, 251. Prime factorization of 43925 in exponential form is:

43925 = 5² × 7¹ × 251¹

Step-2: Prime Factorization of 43943

Prime factors of 43943 are 43943. Prime factorization of 43943 in exponential form is:

43943 = 43943¹

Step-3: Factors of 43925

List of positive integer factors of 43925 that divides 43925 without a remainder.

1, 5, 7, 25, 35, 175, 251, 1255, 1757, 6275, 8785

Step-4: Factors of 43943

List of positive integer factors of 43943 that divides 43925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43925 and 43943. The biggest common factor number is the GCF number.
So the greatest common factor 43925 and 43943 is 1.

Also check out the Least Common Multiple of 43925 and 43943