What is the Greatest Common Factor of 4905 and 4925?

Greatest common factor (GCF) of 4905 and 4925 is 5.

GCF(4905,4925) = 5

We will now calculate the prime factors of 4905 and 4925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4905 and 4925.

How to find the GCF of 4905 and 4925?

We will first find the prime factorization of 4905 and 4925. After we will calculate the factors of 4905 and 4925 and find the biggest common factor number .

Step-1: Prime Factorization of 4905

Prime factors of 4905 are 3, 5, 109. Prime factorization of 4905 in exponential form is:

4905 = 3² × 5¹ × 109¹

Step-2: Prime Factorization of 4925

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

4925 = 5² × 197¹

Step-3: Factors of 4905

List of positive integer factors of 4905 that divides 4905 without a remainder.

1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635

Step-4: Factors of 4925

List of positive integer factors of 4925 that divides 4905 without a remainder.

1, 5, 25, 197, 985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4905 and 4925. The biggest common factor number is the GCF number.
So the greatest common factor 4905 and 4925 is 5.

Also check out the Least Common Multiple of 4905 and 4925