What is the Greatest Common Factor of 14816 and 14825?

Greatest common factor (GCF) of 14816 and 14825 is 1.

GCF(14816,14825) = 1

We will now calculate the prime factors of 14816 and 14825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14816 and 14825.

How to find the GCF of 14816 and 14825?

We will first find the prime factorization of 14816 and 14825. After we will calculate the factors of 14816 and 14825 and find the biggest common factor number .

Step-1: Prime Factorization of 14816

Prime factors of 14816 are 2, 463. Prime factorization of 14816 in exponential form is:

14816 = 2⁵ × 463¹

Step-2: Prime Factorization of 14825

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

14825 = 5² × 593¹

Step-3: Factors of 14816

List of positive integer factors of 14816 that divides 14816 without a remainder.

1, 2, 4, 8, 16, 32, 463, 926, 1852, 3704, 7408

Step-4: Factors of 14825

List of positive integer factors of 14825 that divides 14816 without a remainder.

1, 5, 25, 593, 2965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14816 and 14825. The biggest common factor number is the GCF number.
So the greatest common factor 14816 and 14825 is 1.

Also check out the Least Common Multiple of 14816 and 14825