What is the Greatest Common Factor of 28032 and 28049?

Greatest common factor (GCF) of 28032 and 28049 is 1.

GCF(28032,28049) = 1

We will now calculate the prime factors of 28032 and 28049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28032 and 28049.

How to find the GCF of 28032 and 28049?

We will first find the prime factorization of 28032 and 28049. After we will calculate the factors of 28032 and 28049 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 28049

Prime factors of 28049 are 7, 4007. Prime factorization of 28049 in exponential form is:

28049 = 7¹ × 4007¹

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 28049

List of positive integer factors of 28049 that divides 28032 without a remainder.

1, 7, 4007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28032 and 28049. The biggest common factor number is the GCF number.
So the greatest common factor 28032 and 28049 is 1.

Also check out the Least Common Multiple of 28032 and 28049