What is the Greatest Common Factor of 14925 and 14940?

Greatest common factor (GCF) of 14925 and 14940 is 15.

GCF(14925,14940) = 15

We will now calculate the prime factors of 14925 and 14940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14925 and 14940.

How to find the GCF of 14925 and 14940?

We will first find the prime factorization of 14925 and 14940. After we will calculate the factors of 14925 and 14940 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14940

Prime factors of 14940 are 2, 3, 5, 83. Prime factorization of 14940 in exponential form is:

14940 = 2² × 3² × 5¹ × 83¹

Step-3: Factors of 14925

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

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

Step-4: Factors of 14940

List of positive integer factors of 14940 that divides 14925 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 83, 90, 166, 180, 249, 332, 415, 498, 747, 830, 996, 1245, 1494, 1660, 2490, 2988, 3735, 4980, 7470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14925 and 14940. The biggest common factor number is the GCF number.
So the greatest common factor 14925 and 14940 is 15.

Also check out the Least Common Multiple of 14925 and 14940