What is the Greatest Common Factor of 14890 and 14900?

Greatest common factor (GCF) of 14890 and 14900 is 10.

GCF(14890,14900) = 10

We will now calculate the prime factors of 14890 and 14900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14890 and 14900.

How to find the GCF of 14890 and 14900?

We will first find the prime factorization of 14890 and 14900. After we will calculate the factors of 14890 and 14900 and find the biggest common factor number .

Step-1: Prime Factorization of 14890

Prime factors of 14890 are 2, 5, 1489. Prime factorization of 14890 in exponential form is:

14890 = 2¹ × 5¹ × 1489¹

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 14890

List of positive integer factors of 14890 that divides 14890 without a remainder.

1, 2, 5, 10, 1489, 2978, 7445

Step-4: Factors of 14900

List of positive integer factors of 14900 that divides 14890 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 14890 and 14900. The biggest common factor number is the GCF number.
So the greatest common factor 14890 and 14900 is 10.

Also check out the Least Common Multiple of 14890 and 14900