What is the Greatest Common Factor of 10896 and 10901?

Greatest common factor (GCF) of 10896 and 10901 is 1.

GCF(10896,10901) = 1

We will now calculate the prime factors of 10896 and 10901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10896 and 10901.

How to find the GCF of 10896 and 10901?

We will first find the prime factorization of 10896 and 10901. After we will calculate the factors of 10896 and 10901 and find the biggest common factor number .

Step-1: Prime Factorization of 10896

Prime factors of 10896 are 2, 3, 227. Prime factorization of 10896 in exponential form is:

10896 = 2⁴ × 3¹ × 227¹

Step-2: Prime Factorization of 10901

Prime factors of 10901 are 11, 991. Prime factorization of 10901 in exponential form is:

10901 = 11¹ × 991¹

Step-3: Factors of 10896

List of positive integer factors of 10896 that divides 10896 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 227, 454, 681, 908, 1362, 1816, 2724, 3632, 5448

Step-4: Factors of 10901

List of positive integer factors of 10901 that divides 10896 without a remainder.

1, 11, 991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10896 and 10901. The biggest common factor number is the GCF number.
So the greatest common factor 10896 and 10901 is 1.

Also check out the Least Common Multiple of 10896 and 10901