What is the Greatest Common Factor of 28032 and 28041?

Greatest common factor (GCF) of 28032 and 28041 is 3.

GCF(28032,28041) = 3

We will now calculate the prime factors of 28032 and 28041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28032 and 28041.

How to find the GCF of 28032 and 28041?

We will first find the prime factorization of 28032 and 28041. After we will calculate the factors of 28032 and 28041 and find the biggest common factor number .

Step-1: Prime Factorization of 28032

Prime factors of 28032 are 2, 3, 73. Prime factorization of 28032 in exponential form is:

28032 = 2⁷ × 3¹ × 73¹

Step-2: Prime Factorization of 28041

Prime factors of 28041 are 3, 13, 719. Prime factorization of 28041 in exponential form is:

28041 = 3¹ × 13¹ × 719¹

Step-3: Factors of 28032

List of positive integer factors of 28032 that divides 28032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 73, 96, 128, 146, 192, 219, 292, 384, 438, 584, 876, 1168, 1752, 2336, 3504, 4672, 7008, 9344, 14016

Step-4: Factors of 28041

List of positive integer factors of 28041 that divides 28032 without a remainder.

1, 3, 13, 39, 719, 2157, 9347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28032 and 28041. The biggest common factor number is the GCF number.
So the greatest common factor 28032 and 28041 is 3.

Also check out the Least Common Multiple of 28032 and 28041