What is the Greatest Common Factor of 26812 and 26832?

Greatest common factor (GCF) of 26812 and 26832 is 4.

GCF(26812,26832) = 4

We will now calculate the prime factors of 26812 and 26832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26812 and 26832.

How to find the GCF of 26812 and 26832?

We will first find the prime factorization of 26812 and 26832. After we will calculate the factors of 26812 and 26832 and find the biggest common factor number .

Step-1: Prime Factorization of 26812

Prime factors of 26812 are 2, 6703. Prime factorization of 26812 in exponential form is:

26812 = 2² × 6703¹

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 26812

List of positive integer factors of 26812 that divides 26812 without a remainder.

1, 2, 4, 6703, 13406

Step-4: Factors of 26832

List of positive integer factors of 26832 that divides 26812 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 26812 and 26832. The biggest common factor number is the GCF number.
So the greatest common factor 26812 and 26832 is 4.

Also check out the Least Common Multiple of 26812 and 26832