What is the Greatest Common Factor of 28992 and 29009?

Greatest common factor (GCF) of 28992 and 29009 is 1.

GCF(28992,29009) = 1

We will now calculate the prime factors of 28992 and 29009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28992 and 29009.

How to find the GCF of 28992 and 29009?

We will first find the prime factorization of 28992 and 29009. After we will calculate the factors of 28992 and 29009 and find the biggest common factor number .

Step-1: Prime Factorization of 28992

Prime factors of 28992 are 2, 3, 151. Prime factorization of 28992 in exponential form is:

28992 = 2⁶ × 3¹ × 151¹

Step-2: Prime Factorization of 29009

Prime factors of 29009 are 29009. Prime factorization of 29009 in exponential form is:

29009 = 29009¹

Step-3: Factors of 28992

List of positive integer factors of 28992 that divides 28992 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 151, 192, 302, 453, 604, 906, 1208, 1812, 2416, 3624, 4832, 7248, 9664, 14496

Step-4: Factors of 29009

List of positive integer factors of 29009 that divides 28992 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28992 and 29009. The biggest common factor number is the GCF number.
So the greatest common factor 28992 and 29009 is 1.

Also check out the Least Common Multiple of 28992 and 29009