What is the Greatest Common Factor of 26691 and 26698?

Greatest common factor (GCF) of 26691 and 26698 is 7.

GCF(26691,26698) = 7

We will now calculate the prime factors of 26691 and 26698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26691 and 26698.

How to find the GCF of 26691 and 26698?

We will first find the prime factorization of 26691 and 26698. After we will calculate the factors of 26691 and 26698 and find the biggest common factor number .

Step-1: Prime Factorization of 26691

Prime factors of 26691 are 3, 7, 31, 41. Prime factorization of 26691 in exponential form is:

26691 = 3¹ × 7¹ × 31¹ × 41¹

Step-2: 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-3: Factors of 26691

List of positive integer factors of 26691 that divides 26691 without a remainder.

1, 3, 7, 21, 31, 41, 93, 123, 217, 287, 651, 861, 1271, 3813, 8897

Step-4: Factors of 26698

List of positive integer factors of 26698 that divides 26691 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26691 and 26698. The biggest common factor number is the GCF number.
So the greatest common factor 26691 and 26698 is 7.

Also check out the Least Common Multiple of 26691 and 26698