What is the Greatest Common Factor of 14825 and 14845?

Greatest common factor (GCF) of 14825 and 14845 is 5.

GCF(14825,14845) = 5

We will now calculate the prime factors of 14825 and 14845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14825 and 14845.

How to find the GCF of 14825 and 14845?

We will first find the prime factorization of 14825 and 14845. After we will calculate the factors of 14825 and 14845 and find the biggest common factor number .

Step-1: Prime Factorization of 14825

Prime factors of 14825 are 5, 593. Prime factorization of 14825 in exponential form is:

14825 = 5² × 593¹

Step-2: Prime Factorization of 14845

Prime factors of 14845 are 5, 2969. Prime factorization of 14845 in exponential form is:

14845 = 5¹ × 2969¹

Step-3: Factors of 14825

List of positive integer factors of 14825 that divides 14825 without a remainder.

1, 5, 25, 593, 2965

Step-4: Factors of 14845

List of positive integer factors of 14845 that divides 14825 without a remainder.

1, 5, 2969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14825 and 14845. The biggest common factor number is the GCF number.
So the greatest common factor 14825 and 14845 is 5.

Also check out the Least Common Multiple of 14825 and 14845