What is the Greatest Common Factor of 4925 and 4943?

Greatest common factor (GCF) of 4925 and 4943 is 1.

GCF(4925,4943) = 1

We will now calculate the prime factors of 4925 and 4943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4925 and 4943.

How to find the GCF of 4925 and 4943?

We will first find the prime factorization of 4925 and 4943. After we will calculate the factors of 4925 and 4943 and find the biggest common factor number .

Step-1: Prime Factorization of 4925

Prime factors of 4925 are 5, 197. Prime factorization of 4925 in exponential form is:

4925 = 5² × 197¹

Step-2: Prime Factorization of 4943

Prime factors of 4943 are 4943. Prime factorization of 4943 in exponential form is:

4943 = 4943¹

Step-3: Factors of 4925

List of positive integer factors of 4925 that divides 4925 without a remainder.

1, 5, 25, 197, 985

Step-4: Factors of 4943

List of positive integer factors of 4943 that divides 4925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4925 and 4943. The biggest common factor number is the GCF number.
So the greatest common factor 4925 and 4943 is 1.

Also check out the Least Common Multiple of 4925 and 4943