What is the Greatest Common Factor of 4814 and 4825?

Greatest common factor (GCF) of 4814 and 4825 is 1.

GCF(4814,4825) = 1

We will now calculate the prime factors of 4814 and 4825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4814 and 4825.

How to find the GCF of 4814 and 4825?

We will first find the prime factorization of 4814 and 4825. After we will calculate the factors of 4814 and 4825 and find the biggest common factor number .

Step-1: Prime Factorization of 4814

Prime factors of 4814 are 2, 29, 83. Prime factorization of 4814 in exponential form is:

4814 = 2¹ × 29¹ × 83¹

Step-2: Prime Factorization of 4825

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

4825 = 5² × 193¹

Step-3: Factors of 4814

List of positive integer factors of 4814 that divides 4814 without a remainder.

1, 2, 29, 58, 83, 166, 2407

Step-4: Factors of 4825

List of positive integer factors of 4825 that divides 4814 without a remainder.

1, 5, 25, 193, 965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4814 and 4825. The biggest common factor number is the GCF number.
So the greatest common factor 4814 and 4825 is 1.

Also check out the Least Common Multiple of 4814 and 4825