What is the Greatest Common Factor of 28032 and 28046?

Greatest common factor (GCF) of 28032 and 28046 is 2.

GCF(28032,28046) = 2

We will now calculate the prime factors of 28032 and 28046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28032 and 28046.

How to find the GCF of 28032 and 28046?

We will first find the prime factorization of 28032 and 28046. After we will calculate the factors of 28032 and 28046 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 28046

Prime factors of 28046 are 2, 37, 379. Prime factorization of 28046 in exponential form is:

28046 = 2¹ × 37¹ × 379¹

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 28046

List of positive integer factors of 28046 that divides 28032 without a remainder.

1, 2, 37, 74, 379, 758, 14023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28032 and 28046. The biggest common factor number is the GCF number.
So the greatest common factor 28032 and 28046 is 2.

Also check out the Least Common Multiple of 28032 and 28046