What is the Greatest Common Factor of 26754 and 26769?

Greatest common factor (GCF) of 26754 and 26769 is 3.

GCF(26754,26769) = 3

We will now calculate the prime factors of 26754 and 26769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26754 and 26769.

How to find the GCF of 26754 and 26769?

We will first find the prime factorization of 26754 and 26769. After we will calculate the factors of 26754 and 26769 and find the biggest common factor number .

Step-1: Prime Factorization of 26754

Prime factors of 26754 are 2, 3, 7, 13. Prime factorization of 26754 in exponential form is:

26754 = 2¹ × 3¹ × 7³ × 13¹

Step-2: Prime Factorization of 26769

Prime factors of 26769 are 3, 8923. Prime factorization of 26769 in exponential form is:

26769 = 3¹ × 8923¹

Step-3: Factors of 26754

List of positive integer factors of 26754 that divides 26754 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 343, 546, 637, 686, 1029, 1274, 1911, 2058, 3822, 4459, 8918, 13377

Step-4: Factors of 26769

List of positive integer factors of 26769 that divides 26754 without a remainder.

1, 3, 8923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26754 and 26769. The biggest common factor number is the GCF number.
So the greatest common factor 26754 and 26769 is 3.

Also check out the Least Common Multiple of 26754 and 26769