What is the Greatest Common Factor of 26832 and 26852?

Greatest common factor (GCF) of 26832 and 26852 is 4.

GCF(26832,26852) = 4

We will now calculate the prime factors of 26832 and 26852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26832 and 26852.

How to find the GCF of 26832 and 26852?

We will first find the prime factorization of 26832 and 26852. After we will calculate the factors of 26832 and 26852 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26852

Prime factors of 26852 are 2, 7, 137. Prime factorization of 26852 in exponential form is:

26852 = 2² × 7² × 137¹

Step-3: Factors of 26832

List of positive integer factors of 26832 that divides 26832 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

Step-4: Factors of 26852

List of positive integer factors of 26852 that divides 26832 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 137, 196, 274, 548, 959, 1918, 3836, 6713, 13426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26832 and 26852. The biggest common factor number is the GCF number.
So the greatest common factor 26832 and 26852 is 4.

Also check out the Least Common Multiple of 26832 and 26852