What is the Greatest Common Factor of 4925 and 4945?

Greatest common factor (GCF) of 4925 and 4945 is 5.

GCF(4925,4945) = 5

We will now calculate the prime factors of 4925 and 4945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4925 and 4945.

How to find the GCF of 4925 and 4945?

We will first find the prime factorization of 4925 and 4945. After we will calculate the factors of 4925 and 4945 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 4945

Prime factors of 4945 are 5, 23, 43. Prime factorization of 4945 in exponential form is:

4945 = 5¹ × 23¹ × 43¹

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 4945

List of positive integer factors of 4945 that divides 4925 without a remainder.

1, 5, 23, 43, 115, 215, 989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4925 and 4945. The biggest common factor number is the GCF number.
So the greatest common factor 4925 and 4945 is 5.

Also check out the Least Common Multiple of 4925 and 4945