What is the Greatest Common Factor of 18896 and 18902?

Greatest common factor (GCF) of 18896 and 18902 is 2.

GCF(18896,18902) = 2

We will now calculate the prime factors of 18896 and 18902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18896 and 18902.

How to find the GCF of 18896 and 18902?

We will first find the prime factorization of 18896 and 18902. After we will calculate the factors of 18896 and 18902 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 18902

Prime factors of 18902 are 2, 13, 727. Prime factorization of 18902 in exponential form is:

18902 = 2¹ × 13¹ × 727¹

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 18902

List of positive integer factors of 18902 that divides 18896 without a remainder.

1, 2, 13, 26, 727, 1454, 9451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18896 and 18902. The biggest common factor number is the GCF number.
So the greatest common factor 18896 and 18902 is 2.

Also check out the Least Common Multiple of 18896 and 18902