What is the Greatest Common Factor of 26923 and 26942?

Greatest common factor (GCF) of 26923 and 26942 is 19.

GCF(26923,26942) = 19

We will now calculate the prime factors of 26923 and 26942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26923 and 26942.

How to find the GCF of 26923 and 26942?

We will first find the prime factorization of 26923 and 26942. After we will calculate the factors of 26923 and 26942 and find the biggest common factor number .

Step-1: Prime Factorization of 26923

Prime factors of 26923 are 13, 19, 109. Prime factorization of 26923 in exponential form is:

26923 = 13¹ × 19¹ × 109¹

Step-2: Prime Factorization of 26942

Prime factors of 26942 are 2, 19, 709. Prime factorization of 26942 in exponential form is:

26942 = 2¹ × 19¹ × 709¹

Step-3: Factors of 26923

List of positive integer factors of 26923 that divides 26923 without a remainder.

1, 13, 19, 109, 247, 1417, 2071

Step-4: Factors of 26942

List of positive integer factors of 26942 that divides 26923 without a remainder.

1, 2, 19, 38, 709, 1418, 13471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26923 and 26942. The biggest common factor number is the GCF number.
So the greatest common factor 26923 and 26942 is 19.

Also check out the Least Common Multiple of 26923 and 26942