What is the Greatest Common Factor of 10914 and 10922?

Greatest common factor (GCF) of 10914 and 10922 is 2.

GCF(10914,10922) = 2

We will now calculate the prime factors of 10914 and 10922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10914 and 10922.

How to find the GCF of 10914 and 10922?

We will first find the prime factorization of 10914 and 10922. After we will calculate the factors of 10914 and 10922 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 10922

Prime factors of 10922 are 2, 43, 127. Prime factorization of 10922 in exponential form is:

10922 = 2¹ × 43¹ × 127¹

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 10922

List of positive integer factors of 10922 that divides 10914 without a remainder.

1, 2, 43, 86, 127, 254, 5461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10914 and 10922. The biggest common factor number is the GCF number.
So the greatest common factor 10914 and 10922 is 2.

Also check out the Least Common Multiple of 10914 and 10922