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What is the Greatest Common Factor of 2999 and 3018?

Greatest common factor (GCF) of 2999 and 3018 is 1.

GCF(2999,3018) = 1

We will now calculate the prime factors of 2999 and 3018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2999 and 3018.

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How to find the GCF of 2999 and 3018?

We will first find the prime factorization of 2999 and 3018. After we will calculate the factors of 2999 and 3018 and find the biggest common factor number .

Step-1: Prime Factorization of 2999

Prime factors of 2999 are 2999. Prime factorization of 2999 in exponential form is:

2999 = 29991

Step-2: Prime Factorization of 3018

Prime factors of 3018 are 2, 3, 503. Prime factorization of 3018 in exponential form is:

3018 = 21 × 31 × 5031

Step-3: Factors of 2999

List of positive integer factors of 2999 that divides 2999 without a remainder.

1

Step-4: Factors of 3018

List of positive integer factors of 3018 that divides 2999 without a remainder.

1, 2, 3, 6, 503, 1006, 1509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2999 and 3018. The biggest common factor number is the GCF number.
So the greatest common factor 2999 and 3018 is 1.

Also check out the Least Common Multiple of 2999 and 3018