What is the Greatest Common Factor of 13905 and 13925?

Greatest common factor (GCF) of 13905 and 13925 is 5.

GCF(13905,13925) = 5

We will now calculate the prime factors of 13905 and 13925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13905 and 13925.

How to find the GCF of 13905 and 13925?

We will first find the prime factorization of 13905 and 13925. After we will calculate the factors of 13905 and 13925 and find the biggest common factor number .

Step-1: Prime Factorization of 13905

Prime factors of 13905 are 3, 5, 103. Prime factorization of 13905 in exponential form is:

13905 = 3³ × 5¹ × 103¹

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 13905

List of positive integer factors of 13905 that divides 13905 without a remainder.

1, 3, 5, 9, 15, 27, 45, 103, 135, 309, 515, 927, 1545, 2781, 4635

Step-4: Factors of 13925

List of positive integer factors of 13925 that divides 13905 without a remainder.

1, 5, 25, 557, 2785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13905 and 13925. The biggest common factor number is the GCF number.
So the greatest common factor 13905 and 13925 is 5.

Also check out the Least Common Multiple of 13905 and 13925