What is the Greatest Common Factor of 26923 and 26940?

Greatest common factor (GCF) of 26923 and 26940 is 1.

GCF(26923,26940) = 1

We will now calculate the prime factors of 26923 and 26940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26923 and 26940.

How to find the GCF of 26923 and 26940?

We will first find the prime factorization of 26923 and 26940. After we will calculate the factors of 26923 and 26940 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 26940

Prime factors of 26940 are 2, 3, 5, 449. Prime factorization of 26940 in exponential form is:

26940 = 2² × 3¹ × 5¹ × 449¹

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 26940

List of positive integer factors of 26940 that divides 26923 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 449, 898, 1347, 1796, 2245, 2694, 4490, 5388, 6735, 8980, 13470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26923 and 26940. The biggest common factor number is the GCF number.
So the greatest common factor 26923 and 26940 is 1.

Also check out the Least Common Multiple of 26923 and 26940