What is the Greatest Common Factor of 14909 and 14925?

Greatest common factor (GCF) of 14909 and 14925 is 1.

GCF(14909,14925) = 1

We will now calculate the prime factors of 14909 and 14925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14909 and 14925.

How to find the GCF of 14909 and 14925?

We will first find the prime factorization of 14909 and 14925. After we will calculate the factors of 14909 and 14925 and find the biggest common factor number .

Step-1: Prime Factorization of 14909

Prime factors of 14909 are 17, 877. Prime factorization of 14909 in exponential form is:

14909 = 17¹ × 877¹

Step-2: Prime Factorization of 14925

Prime factors of 14925 are 3, 5, 199. Prime factorization of 14925 in exponential form is:

14925 = 3¹ × 5² × 199¹

Step-3: Factors of 14909

List of positive integer factors of 14909 that divides 14909 without a remainder.

1, 17, 877

Step-4: Factors of 14925

List of positive integer factors of 14925 that divides 14909 without a remainder.

1, 3, 5, 15, 25, 75, 199, 597, 995, 2985, 4975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14909 and 14925. The biggest common factor number is the GCF number.
So the greatest common factor 14909 and 14925 is 1.

Also check out the Least Common Multiple of 14909 and 14925