What is the Greatest Common Factor of 13908 and 13925?

Greatest common factor (GCF) of 13908 and 13925 is 1.

GCF(13908,13925) = 1

We will now calculate the prime factors of 13908 and 13925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13908 and 13925.

How to find the GCF of 13908 and 13925?

We will first find the prime factorization of 13908 and 13925. After we will calculate the factors of 13908 and 13925 and find the biggest common factor number .

Step-1: Prime Factorization of 13908

Prime factors of 13908 are 2, 3, 19, 61. Prime factorization of 13908 in exponential form is:

13908 = 2² × 3¹ × 19¹ × 61¹

Step-2: Prime Factorization of 13925

Prime factors of 13925 are 5, 557. Prime factorization of 13925 in exponential form is:

13925 = 5² × 557¹

Step-3: Factors of 13908

List of positive integer factors of 13908 that divides 13908 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 61, 76, 114, 122, 183, 228, 244, 366, 732, 1159, 2318, 3477, 4636, 6954

Step-4: Factors of 13925

List of positive integer factors of 13925 that divides 13908 without a remainder.

1, 5, 25, 557, 2785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13908 and 13925. The biggest common factor number is the GCF number.
So the greatest common factor 13908 and 13925 is 1.

Also check out the Least Common Multiple of 13908 and 13925