What is the Greatest Common Factor of 26922 and 26936?

Greatest common factor (GCF) of 26922 and 26936 is 14.

GCF(26922,26936) = 14

We will now calculate the prime factors of 26922 and 26936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26922 and 26936.

How to find the GCF of 26922 and 26936?

We will first find the prime factorization of 26922 and 26936. After we will calculate the factors of 26922 and 26936 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26936

Prime factors of 26936 are 2, 7, 13, 37. Prime factorization of 26936 in exponential form is:

26936 = 2³ × 7¹ × 13¹ × 37¹

Step-3: Factors of 26922

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

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

Step-4: Factors of 26936

List of positive integer factors of 26936 that divides 26922 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 37, 52, 56, 74, 91, 104, 148, 182, 259, 296, 364, 481, 518, 728, 962, 1036, 1924, 2072, 3367, 3848, 6734, 13468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26922 and 26936. The biggest common factor number is the GCF number.
So the greatest common factor 26922 and 26936 is 14.

Also check out the Least Common Multiple of 26922 and 26936