What is the Greatest Common Factor of 10914 and 10921?

Greatest common factor (GCF) of 10914 and 10921 is 1.

GCF(10914,10921) = 1

We will now calculate the prime factors of 10914 and 10921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10914 and 10921.

How to find the GCF of 10914 and 10921?

We will first find the prime factorization of 10914 and 10921. After we will calculate the factors of 10914 and 10921 and find the biggest common factor number .

Step-1: Prime Factorization of 10914

Prime factors of 10914 are 2, 3, 17, 107. Prime factorization of 10914 in exponential form is:

10914 = 2¹ × 3¹ × 17¹ × 107¹

Step-2: Prime Factorization of 10921

Prime factors of 10921 are 67, 163. Prime factorization of 10921 in exponential form is:

10921 = 67¹ × 163¹

Step-3: Factors of 10914

List of positive integer factors of 10914 that divides 10914 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 107, 214, 321, 642, 1819, 3638, 5457

Step-4: Factors of 10921

List of positive integer factors of 10921 that divides 10914 without a remainder.

1, 67, 163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10914 and 10921. The biggest common factor number is the GCF number.
So the greatest common factor 10914 and 10921 is 1.

Also check out the Least Common Multiple of 10914 and 10921