What is the Greatest Common Factor of 18896 and 18901?

Greatest common factor (GCF) of 18896 and 18901 is 1.

GCF(18896,18901) = 1

We will now calculate the prime factors of 18896 and 18901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18896 and 18901.

How to find the GCF of 18896 and 18901?

We will first find the prime factorization of 18896 and 18901. After we will calculate the factors of 18896 and 18901 and find the biggest common factor number .

Step-1: Prime Factorization of 18896

Prime factors of 18896 are 2, 1181. Prime factorization of 18896 in exponential form is:

18896 = 2⁴ × 1181¹

Step-2: Prime Factorization of 18901

Prime factors of 18901 are 41, 461. Prime factorization of 18901 in exponential form is:

18901 = 41¹ × 461¹

Step-3: Factors of 18896

List of positive integer factors of 18896 that divides 18896 without a remainder.

1, 2, 4, 8, 16, 1181, 2362, 4724, 9448

Step-4: Factors of 18901

List of positive integer factors of 18901 that divides 18896 without a remainder.

1, 41, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18896 and 18901. The biggest common factor number is the GCF number.
So the greatest common factor 18896 and 18901 is 1.

Also check out the Least Common Multiple of 18896 and 18901