What is the Greatest Common Factor of 29018 and 29029?

Greatest common factor (GCF) of 29018 and 29029 is 11.

GCF(29018,29029) = 11

We will now calculate the prime factors of 29018 and 29029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29018 and 29029.

How to find the GCF of 29018 and 29029?

We will first find the prime factorization of 29018 and 29029. After we will calculate the factors of 29018 and 29029 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29029

Prime factors of 29029 are 7, 11, 13, 29. Prime factorization of 29029 in exponential form is:

29029 = 7¹ × 11¹ × 13¹ × 29¹

Step-3: Factors of 29018

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

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

Step-4: Factors of 29029

List of positive integer factors of 29029 that divides 29018 without a remainder.

1, 7, 11, 13, 29, 77, 91, 143, 203, 319, 377, 1001, 2233, 2639, 4147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29018 and 29029. The biggest common factor number is the GCF number.
So the greatest common factor 29018 and 29029 is 11.

Also check out the Least Common Multiple of 29018 and 29029