What is the Greatest Common Factor of 29007 and 29018?

Greatest common factor (GCF) of 29007 and 29018 is 11.

GCF(29007,29018) = 11

We will now calculate the prime factors of 29007 and 29018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29007 and 29018.

How to find the GCF of 29007 and 29018?

We will first find the prime factorization of 29007 and 29018. After we will calculate the factors of 29007 and 29018 and find the biggest common factor number .

Step-1: Prime Factorization of 29007

Prime factors of 29007 are 3, 11, 293. Prime factorization of 29007 in exponential form is:

29007 = 3² × 11¹ × 293¹

Step-2: Prime Factorization of 29018

Prime factors of 29018 are 2, 11, 1319. Prime factorization of 29018 in exponential form is:

29018 = 2¹ × 11¹ × 1319¹

Step-3: Factors of 29007

List of positive integer factors of 29007 that divides 29007 without a remainder.

1, 3, 9, 11, 33, 99, 293, 879, 2637, 3223, 9669

Step-4: Factors of 29018

List of positive integer factors of 29018 that divides 29007 without a remainder.

1, 2, 11, 22, 1319, 2638, 14509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29007 and 29018. The biggest common factor number is the GCF number.
So the greatest common factor 29007 and 29018 is 11.

Also check out the Least Common Multiple of 29007 and 29018