What is the Greatest Common Factor of 14125 and 14130?

Greatest common factor (GCF) of 14125 and 14130 is 5.

GCF(14125,14130) = 5

We will now calculate the prime factors of 14125 and 14130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14125 and 14130.

How to find the GCF of 14125 and 14130?

We will first find the prime factorization of 14125 and 14130. After we will calculate the factors of 14125 and 14130 and find the biggest common factor number .

Step-1: Prime Factorization of 14125

Prime factors of 14125 are 5, 113. Prime factorization of 14125 in exponential form is:

14125 = 5³ × 113¹

Step-2: Prime Factorization of 14130

Prime factors of 14130 are 2, 3, 5, 157. Prime factorization of 14130 in exponential form is:

14130 = 2¹ × 3² × 5¹ × 157¹

Step-3: Factors of 14125

List of positive integer factors of 14125 that divides 14125 without a remainder.

1, 5, 25, 113, 125, 565, 2825

Step-4: Factors of 14130

List of positive integer factors of 14130 that divides 14125 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 157, 314, 471, 785, 942, 1413, 1570, 2355, 2826, 4710, 7065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14125 and 14130. The biggest common factor number is the GCF number.
So the greatest common factor 14125 and 14130 is 5.

Also check out the Least Common Multiple of 14125 and 14130