What is the Greatest Common Factor of 26694 and 26712?

Greatest common factor (GCF) of 26694 and 26712 is 18.

GCF(26694,26712) = 18

We will now calculate the prime factors of 26694 and 26712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26694 and 26712.

How to find the GCF of 26694 and 26712?

We will first find the prime factorization of 26694 and 26712. After we will calculate the factors of 26694 and 26712 and find the biggest common factor number .

Step-1: Prime Factorization of 26694

Prime factors of 26694 are 2, 3, 1483. Prime factorization of 26694 in exponential form is:

26694 = 2¹ × 3² × 1483¹

Step-2: Prime Factorization of 26712

Prime factors of 26712 are 2, 3, 7, 53. Prime factorization of 26712 in exponential form is:

26712 = 2³ × 3² × 7¹ × 53¹

Step-3: Factors of 26694

List of positive integer factors of 26694 that divides 26694 without a remainder.

1, 2, 3, 6, 9, 18, 1483, 2966, 4449, 8898, 13347

Step-4: Factors of 26712

List of positive integer factors of 26712 that divides 26694 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 53, 56, 63, 72, 84, 106, 126, 159, 168, 212, 252, 318, 371, 424, 477, 504, 636, 742, 954, 1113, 1272, 1484, 1908, 2226, 2968, 3339, 3816, 4452, 6678, 8904, 13356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26694 and 26712. The biggest common factor number is the GCF number.
So the greatest common factor 26694 and 26712 is 18.

Also check out the Least Common Multiple of 26694 and 26712