What is the Greatest Common Factor of 14892 and 14900?

Greatest common factor (GCF) of 14892 and 14900 is 4.

GCF(14892,14900) = 4

We will now calculate the prime factors of 14892 and 14900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14892 and 14900.

How to find the GCF of 14892 and 14900?

We will first find the prime factorization of 14892 and 14900. After we will calculate the factors of 14892 and 14900 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14900

Prime factors of 14900 are 2, 5, 149. Prime factorization of 14900 in exponential form is:

14900 = 2² × 5² × 149¹

Step-3: Factors of 14892

List of positive integer factors of 14892 that divides 14892 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

Step-4: Factors of 14900

List of positive integer factors of 14900 that divides 14892 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 149, 298, 596, 745, 1490, 2980, 3725, 7450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14892 and 14900. The biggest common factor number is the GCF number.
So the greatest common factor 14892 and 14900 is 4.

Also check out the Least Common Multiple of 14892 and 14900