What is the Greatest Common Factor of 29022 and 29029?

Greatest common factor (GCF) of 29022 and 29029 is 7.

GCF(29022,29029) = 7

We will now calculate the prime factors of 29022 and 29029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29022 and 29029.

How to find the GCF of 29022 and 29029?

We will first find the prime factorization of 29022 and 29029. After we will calculate the factors of 29022 and 29029 and find the biggest common factor number .

Step-1: Prime Factorization of 29022

Prime factors of 29022 are 2, 3, 7, 691. Prime factorization of 29022 in exponential form is:

29022 = 2¹ × 3¹ × 7¹ × 691¹

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 29022

List of positive integer factors of 29022 that divides 29022 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 691, 1382, 2073, 4146, 4837, 9674, 14511

Step-4: Factors of 29029

List of positive integer factors of 29029 that divides 29022 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 29022 and 29029. The biggest common factor number is the GCF number.
So the greatest common factor 29022 and 29029 is 7.

Also check out the Least Common Multiple of 29022 and 29029