What is the Greatest Common Factor of 26940 and 26949?

Greatest common factor (GCF) of 26940 and 26949 is 3.

GCF(26940,26949) = 3

We will now calculate the prime factors of 26940 and 26949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26940 and 26949.

How to find the GCF of 26940 and 26949?

We will first find the prime factorization of 26940 and 26949. After we will calculate the factors of 26940 and 26949 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26949

Prime factors of 26949 are 3, 13, 691. Prime factorization of 26949 in exponential form is:

26949 = 3¹ × 13¹ × 691¹

Step-3: Factors of 26940

List of positive integer factors of 26940 that divides 26940 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

Step-4: Factors of 26949

List of positive integer factors of 26949 that divides 26940 without a remainder.

1, 3, 13, 39, 691, 2073, 8983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26940 and 26949. The biggest common factor number is the GCF number.
So the greatest common factor 26940 and 26949 is 3.

Also check out the Least Common Multiple of 26940 and 26949