What is the Greatest Common Factor of 26900 and 26910?

Greatest common factor (GCF) of 26900 and 26910 is 10.

GCF(26900,26910) = 10

We will now calculate the prime factors of 26900 and 26910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26900 and 26910.

How to find the GCF of 26900 and 26910?

We will first find the prime factorization of 26900 and 26910. After we will calculate the factors of 26900 and 26910 and find the biggest common factor number .

Step-1: Prime Factorization of 26900

Prime factors of 26900 are 2, 5, 269. Prime factorization of 26900 in exponential form is:

26900 = 2² × 5² × 269¹

Step-2: Prime Factorization of 26910

Prime factors of 26910 are 2, 3, 5, 13, 23. Prime factorization of 26910 in exponential form is:

26910 = 2¹ × 3² × 5¹ × 13¹ × 23¹

Step-3: Factors of 26900

List of positive integer factors of 26900 that divides 26900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 269, 538, 1076, 1345, 2690, 5380, 6725, 13450

Step-4: Factors of 26910

List of positive integer factors of 26910 that divides 26900 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 23, 26, 30, 39, 45, 46, 65, 69, 78, 90, 115, 117, 130, 138, 195, 207, 230, 234, 299, 345, 390, 414, 585, 598, 690, 897, 1035, 1170, 1495, 1794, 2070, 2691, 2990, 4485, 5382, 8970, 13455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26900 and 26910. The biggest common factor number is the GCF number.
So the greatest common factor 26900 and 26910 is 10.

Also check out the Least Common Multiple of 26900 and 26910