What is the Greatest Common Factor of 29022 and 29042?

Greatest common factor (GCF) of 29022 and 29042 is 2.

GCF(29022,29042) = 2

We will now calculate the prime factors of 29022 and 29042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29022 and 29042.

How to find the GCF of 29022 and 29042?

We will first find the prime factorization of 29022 and 29042. After we will calculate the factors of 29022 and 29042 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 29042

Prime factors of 29042 are 2, 13, 1117. Prime factorization of 29042 in exponential form is:

29042 = 2¹ × 13¹ × 1117¹

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 29042

List of positive integer factors of 29042 that divides 29022 without a remainder.

1, 2, 13, 26, 1117, 2234, 14521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29022 and 29042. The biggest common factor number is the GCF number.
So the greatest common factor 29022 and 29042 is 2.

Also check out the Least Common Multiple of 29022 and 29042