What is the Greatest Common Factor of 26698 and 26712?

Greatest common factor (GCF) of 26698 and 26712 is 14.

GCF(26698,26712) = 14

We will now calculate the prime factors of 26698 and 26712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26698 and 26712.

How to find the GCF of 26698 and 26712?

We will first find the prime factorization of 26698 and 26712. After we will calculate the factors of 26698 and 26712 and find the biggest common factor number .

Step-1: Prime Factorization of 26698

Prime factors of 26698 are 2, 7, 1907. Prime factorization of 26698 in exponential form is:

26698 = 2¹ × 7¹ × 1907¹

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 26698

List of positive integer factors of 26698 that divides 26698 without a remainder.

1, 2, 7, 14, 1907, 3814, 13349

Step-4: Factors of 26712

List of positive integer factors of 26712 that divides 26698 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 26698 and 26712. The biggest common factor number is the GCF number.
So the greatest common factor 26698 and 26712 is 14.

Also check out the Least Common Multiple of 26698 and 26712