What is the Greatest Common Factor of 29993 and 30008?

Greatest common factor (GCF) of 29993 and 30008 is 1.

GCF(29993,30008) = 1

We will now calculate the prime factors of 29993 and 30008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29993 and 30008.

How to find the GCF of 29993 and 30008?

We will first find the prime factorization of 29993 and 30008. After we will calculate the factors of 29993 and 30008 and find the biggest common factor number .

Step-1: Prime Factorization of 29993

Prime factors of 29993 are 89, 337. Prime factorization of 29993 in exponential form is:

29993 = 89¹ × 337¹

Step-2: Prime Factorization of 30008

Prime factors of 30008 are 2, 11, 31. Prime factorization of 30008 in exponential form is:

30008 = 2³ × 11² × 31¹

Step-3: Factors of 29993

List of positive integer factors of 29993 that divides 29993 without a remainder.

1, 89, 337

Step-4: Factors of 30008

List of positive integer factors of 30008 that divides 29993 without a remainder.

1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 121, 124, 242, 248, 341, 484, 682, 968, 1364, 2728, 3751, 7502, 15004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29993 and 30008. The biggest common factor number is the GCF number.
So the greatest common factor 29993 and 30008 is 1.

Also check out the Least Common Multiple of 29993 and 30008