What is the Greatest Common Factor of 32832 and 32852?

Greatest common factor (GCF) of 32832 and 32852 is 4.

GCF(32832,32852) = 4

We will now calculate the prime factors of 32832 and 32852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32832 and 32852.

How to find the GCF of 32832 and 32852?

We will first find the prime factorization of 32832 and 32852. After we will calculate the factors of 32832 and 32852 and find the biggest common factor number .

Step-1: Prime Factorization of 32832

Prime factors of 32832 are 2, 3, 19. Prime factorization of 32832 in exponential form is:

32832 = 2⁶ × 3³ × 19¹

Step-2: Prime Factorization of 32852

Prime factors of 32852 are 2, 43, 191. Prime factorization of 32852 in exponential form is:

32852 = 2² × 43¹ × 191¹

Step-3: Factors of 32832

List of positive integer factors of 32832 that divides 32832 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 32, 36, 38, 48, 54, 57, 64, 72, 76, 96, 108, 114, 144, 152, 171, 192, 216, 228, 288, 304, 342, 432, 456, 513, 576, 608, 684, 864, 912, 1026, 1216, 1368, 1728, 1824, 2052, 2736, 3648, 4104, 5472, 8208, 10944, 16416

Step-4: Factors of 32852

List of positive integer factors of 32852 that divides 32832 without a remainder.

1, 2, 4, 43, 86, 172, 191, 382, 764, 8213, 16426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32832 and 32852. The biggest common factor number is the GCF number.
So the greatest common factor 32832 and 32852 is 4.

Also check out the Least Common Multiple of 32832 and 32852