What is the Greatest Common Factor of 26800 and 26820?

Greatest common factor (GCF) of 26800 and 26820 is 20.

GCF(26800,26820) = 20

We will now calculate the prime factors of 26800 and 26820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26800 and 26820.

How to find the GCF of 26800 and 26820?

We will first find the prime factorization of 26800 and 26820. After we will calculate the factors of 26800 and 26820 and find the biggest common factor number .

Step-1: Prime Factorization of 26800

Prime factors of 26800 are 2, 5, 67. Prime factorization of 26800 in exponential form is:

26800 = 2⁴ × 5² × 67¹

Step-2: Prime Factorization of 26820

Prime factors of 26820 are 2, 3, 5, 149. Prime factorization of 26820 in exponential form is:

26820 = 2² × 3² × 5¹ × 149¹

Step-3: Factors of 26800

List of positive integer factors of 26800 that divides 26800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 67, 80, 100, 134, 200, 268, 335, 400, 536, 670, 1072, 1340, 1675, 2680, 3350, 5360, 6700, 13400

Step-4: Factors of 26820

List of positive integer factors of 26820 that divides 26800 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 149, 180, 298, 447, 596, 745, 894, 1341, 1490, 1788, 2235, 2682, 2980, 4470, 5364, 6705, 8940, 13410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26800 and 26820. The biggest common factor number is the GCF number.
So the greatest common factor 26800 and 26820 is 20.

Also check out the Least Common Multiple of 26800 and 26820