What is the Greatest Common Factor of 26820 and 26832?

Greatest common factor (GCF) of 26820 and 26832 is 12.

GCF(26820,26832) = 12

We will now calculate the prime factors of 26820 and 26832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26820 and 26832.

How to find the GCF of 26820 and 26832?

We will first find the prime factorization of 26820 and 26832. After we will calculate the factors of 26820 and 26832 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 26832

Prime factors of 26832 are 2, 3, 13, 43. Prime factorization of 26832 in exponential form is:

26832 = 2⁴ × 3¹ × 13¹ × 43¹

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 26832

List of positive integer factors of 26832 that divides 26820 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 43, 48, 52, 78, 86, 104, 129, 156, 172, 208, 258, 312, 344, 516, 559, 624, 688, 1032, 1118, 1677, 2064, 2236, 3354, 4472, 6708, 8944, 13416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26820 and 26832. The biggest common factor number is the GCF number.
So the greatest common factor 26820 and 26832 is 12.

Also check out the Least Common Multiple of 26820 and 26832