What is the Greatest Common Factor of 14875 and 14892?

Greatest common factor (GCF) of 14875 and 14892 is 17.

GCF(14875,14892) = 17

We will now calculate the prime factors of 14875 and 14892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14875 and 14892.

How to find the GCF of 14875 and 14892?

We will first find the prime factorization of 14875 and 14892. After we will calculate the factors of 14875 and 14892 and find the biggest common factor number .

Step-1: Prime Factorization of 14875

Prime factors of 14875 are 5, 7, 17. Prime factorization of 14875 in exponential form is:

14875 = 5³ × 7¹ × 17¹

Step-2: Prime Factorization of 14892

Prime factors of 14892 are 2, 3, 17, 73. Prime factorization of 14892 in exponential form is:

14892 = 2² × 3¹ × 17¹ × 73¹

Step-3: Factors of 14875

List of positive integer factors of 14875 that divides 14875 without a remainder.

1, 5, 7, 17, 25, 35, 85, 119, 125, 175, 425, 595, 875, 2125, 2975

Step-4: Factors of 14892

List of positive integer factors of 14892 that divides 14875 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 73, 102, 146, 204, 219, 292, 438, 876, 1241, 2482, 3723, 4964, 7446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14875 and 14892. The biggest common factor number is the GCF number.
So the greatest common factor 14875 and 14892 is 17.

Also check out the Least Common Multiple of 14875 and 14892