What is the Greatest Common Factor of 26912 and 26922?

Greatest common factor (GCF) of 26912 and 26922 is 2.

GCF(26912,26922) = 2

We will now calculate the prime factors of 26912 and 26922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26912 and 26922.

How to find the GCF of 26912 and 26922?

We will first find the prime factorization of 26912 and 26922. After we will calculate the factors of 26912 and 26922 and find the biggest common factor number .

Step-1: Prime Factorization of 26912

Prime factors of 26912 are 2, 29. Prime factorization of 26912 in exponential form is:

26912 = 2⁵ × 29²

Step-2: Prime Factorization of 26922

Prime factors of 26922 are 2, 3, 7, 641. Prime factorization of 26922 in exponential form is:

26922 = 2¹ × 3¹ × 7¹ × 641¹

Step-3: Factors of 26912

List of positive integer factors of 26912 that divides 26912 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 841, 928, 1682, 3364, 6728, 13456

Step-4: Factors of 26922

List of positive integer factors of 26922 that divides 26912 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 641, 1282, 1923, 3846, 4487, 8974, 13461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26912 and 26922. The biggest common factor number is the GCF number.
So the greatest common factor 26912 and 26922 is 2.

Also check out the Least Common Multiple of 26912 and 26922