What is the Greatest Common Factor of 29022 and 29031?

Greatest common factor (GCF) of 29022 and 29031 is 3.

GCF(29022,29031) = 3

We will now calculate the prime factors of 29022 and 29031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29022 and 29031.

How to find the GCF of 29022 and 29031?

We will first find the prime factorization of 29022 and 29031. After we will calculate the factors of 29022 and 29031 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 29031

Prime factors of 29031 are 3, 9677. Prime factorization of 29031 in exponential form is:

29031 = 3¹ × 9677¹

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 29031

List of positive integer factors of 29031 that divides 29022 without a remainder.

1, 3, 9677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29022 and 29031. The biggest common factor number is the GCF number.
So the greatest common factor 29022 and 29031 is 3.

Also check out the Least Common Multiple of 29022 and 29031