What is the Greatest Common Factor of 26820 and 26830?

Greatest common factor (GCF) of 26820 and 26830 is 10.

GCF(26820,26830) = 10

We will now calculate the prime factors of 26820 and 26830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26820 and 26830.

How to find the GCF of 26820 and 26830?

We will first find the prime factorization of 26820 and 26830. After we will calculate the factors of 26820 and 26830 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26830

Prime factors of 26830 are 2, 5, 2683. Prime factorization of 26830 in exponential form is:

26830 = 2¹ × 5¹ × 2683¹

Step-3: Factors of 26820

List of positive integer factors of 26820 that divides 26820 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

Step-4: Factors of 26830

List of positive integer factors of 26830 that divides 26820 without a remainder.

1, 2, 5, 10, 2683, 5366, 13415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26820 and 26830. The biggest common factor number is the GCF number.
So the greatest common factor 26820 and 26830 is 10.

Also check out the Least Common Multiple of 26820 and 26830