What is the Greatest Common Factor of 4825 and 4845?

Greatest common factor (GCF) of 4825 and 4845 is 5.

GCF(4825,4845) = 5

We will now calculate the prime factors of 4825 and 4845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4825 and 4845.

How to find the GCF of 4825 and 4845?

We will first find the prime factorization of 4825 and 4845. After we will calculate the factors of 4825 and 4845 and find the biggest common factor number .

Step-1: Prime Factorization of 4825

Prime factors of 4825 are 5, 193. Prime factorization of 4825 in exponential form is:

4825 = 5² × 193¹

Step-2: Prime Factorization of 4845

Prime factors of 4845 are 3, 5, 17, 19. Prime factorization of 4845 in exponential form is:

4845 = 3¹ × 5¹ × 17¹ × 19¹

Step-3: Factors of 4825

List of positive integer factors of 4825 that divides 4825 without a remainder.

1, 5, 25, 193, 965

Step-4: Factors of 4845

List of positive integer factors of 4845 that divides 4825 without a remainder.

1, 3, 5, 15, 17, 19, 51, 57, 85, 95, 255, 285, 323, 969, 1615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4825 and 4845. The biggest common factor number is the GCF number.
So the greatest common factor 4825 and 4845 is 5.

Also check out the Least Common Multiple of 4825 and 4845