What is the Greatest Common Factor of 43925 and 43931?

Greatest common factor (GCF) of 43925 and 43931 is 1.

GCF(43925,43931) = 1

We will now calculate the prime factors of 43925 and 43931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43925 and 43931.

How to find the GCF of 43925 and 43931?

We will first find the prime factorization of 43925 and 43931. After we will calculate the factors of 43925 and 43931 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 43931

Prime factors of 43931 are 197, 223. Prime factorization of 43931 in exponential form is:

43931 = 197¹ × 223¹

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 43931

List of positive integer factors of 43931 that divides 43925 without a remainder.

1, 197, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43925 and 43931. The biggest common factor number is the GCF number.
So the greatest common factor 43925 and 43931 is 1.

Also check out the Least Common Multiple of 43925 and 43931