What is the Greatest Common Factor of 14925 and 14938?

Greatest common factor (GCF) of 14925 and 14938 is 1.

GCF(14925,14938) = 1

We will now calculate the prime factors of 14925 and 14938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14925 and 14938.

How to find the GCF of 14925 and 14938?

We will first find the prime factorization of 14925 and 14938. After we will calculate the factors of 14925 and 14938 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 14938

Prime factors of 14938 are 2, 7, 11, 97. Prime factorization of 14938 in exponential form is:

14938 = 2¹ × 7¹ × 11¹ × 97¹

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 14938

List of positive integer factors of 14938 that divides 14925 without a remainder.

1, 2, 7, 11, 14, 22, 77, 97, 154, 194, 679, 1067, 1358, 2134, 7469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14925 and 14938. The biggest common factor number is the GCF number.
So the greatest common factor 14925 and 14938 is 1.

Also check out the Least Common Multiple of 14925 and 14938