What is the Greatest Common Factor of 3002 and 3008?

Greatest common factor (GCF) of 3002 and 3008 is 2.

GCF(3002,3008) = 2

We will now calculate the prime factors of 3002 and 3008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3002 and 3008.

How to find the GCF of 3002 and 3008?

We will first find the prime factorization of 3002 and 3008. After we will calculate the factors of 3002 and 3008 and find the biggest common factor number .

Step-1: Prime Factorization of 3002

Prime factors of 3002 are 2, 19, 79. Prime factorization of 3002 in exponential form is:

3002 = 2¹ × 19¹ × 79¹

Step-2: Prime Factorization of 3008

Prime factors of 3008 are 2, 47. Prime factorization of 3008 in exponential form is:

3008 = 2⁶ × 47¹

Step-3: Factors of 3002

List of positive integer factors of 3002 that divides 3002 without a remainder.

1, 2, 19, 38, 79, 158, 1501

Step-4: Factors of 3008

List of positive integer factors of 3008 that divides 3002 without a remainder.

1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3002 and 3008. The biggest common factor number is the GCF number.
So the greatest common factor 3002 and 3008 is 2.

Also check out the Least Common Multiple of 3002 and 3008