What is the Greatest Common Factor of 26946 and 26952?

Greatest common factor (GCF) of 26946 and 26952 is 6.

GCF(26946,26952) = 6

We will now calculate the prime factors of 26946 and 26952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26946 and 26952.

How to find the GCF of 26946 and 26952?

We will first find the prime factorization of 26946 and 26952. After we will calculate the factors of 26946 and 26952 and find the biggest common factor number .

Step-1: Prime Factorization of 26946

Prime factors of 26946 are 2, 3, 499. Prime factorization of 26946 in exponential form is:

26946 = 2¹ × 3³ × 499¹

Step-2: Prime Factorization of 26952

Prime factors of 26952 are 2, 3, 1123. Prime factorization of 26952 in exponential form is:

26952 = 2³ × 3¹ × 1123¹

Step-3: Factors of 26946

List of positive integer factors of 26946 that divides 26946 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 499, 998, 1497, 2994, 4491, 8982, 13473

Step-4: Factors of 26952

List of positive integer factors of 26952 that divides 26946 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1123, 2246, 3369, 4492, 6738, 8984, 13476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26946 and 26952. The biggest common factor number is the GCF number.
So the greatest common factor 26946 and 26952 is 6.

Also check out the Least Common Multiple of 26946 and 26952