What is the Greatest Common Factor of 28992 and 29002?

Greatest common factor (GCF) of 28992 and 29002 is 2.

GCF(28992,29002) = 2

We will now calculate the prime factors of 28992 and 29002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28992 and 29002.

How to find the GCF of 28992 and 29002?

We will first find the prime factorization of 28992 and 29002. After we will calculate the factors of 28992 and 29002 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 29002

Prime factors of 29002 are 2, 17, 853. Prime factorization of 29002 in exponential form is:

29002 = 2¹ × 17¹ × 853¹

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 29002

List of positive integer factors of 29002 that divides 28992 without a remainder.

1, 2, 17, 34, 853, 1706, 14501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28992 and 29002. The biggest common factor number is the GCF number.
So the greatest common factor 28992 and 29002 is 2.

Also check out the Least Common Multiple of 28992 and 29002