What is the Greatest Common Factor of 32892 and 32904?

Greatest common factor (GCF) of 32892 and 32904 is 12.

GCF(32892,32904) = 12

We will now calculate the prime factors of 32892 and 32904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32892 and 32904.

How to find the GCF of 32892 and 32904?

We will first find the prime factorization of 32892 and 32904. After we will calculate the factors of 32892 and 32904 and find the biggest common factor number .

Step-1: Prime Factorization of 32892

Prime factors of 32892 are 2, 3, 2741. Prime factorization of 32892 in exponential form is:

32892 = 2² × 3¹ × 2741¹

Step-2: Prime Factorization of 32904

Prime factors of 32904 are 2, 3, 457. Prime factorization of 32904 in exponential form is:

32904 = 2³ × 3² × 457¹

Step-3: Factors of 32892

List of positive integer factors of 32892 that divides 32892 without a remainder.

1, 2, 3, 4, 6, 12, 2741, 5482, 8223, 10964, 16446

Step-4: Factors of 32904

List of positive integer factors of 32904 that divides 32892 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 457, 914, 1371, 1828, 2742, 3656, 4113, 5484, 8226, 10968, 16452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32892 and 32904. The biggest common factor number is the GCF number.
So the greatest common factor 32892 and 32904 is 12.

Also check out the Least Common Multiple of 32892 and 32904