What is the Greatest Common Factor of 29042 and 29055?

Greatest common factor (GCF) of 29042 and 29055 is 13.

GCF(29042,29055) = 13

We will now calculate the prime factors of 29042 and 29055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29042 and 29055.

How to find the GCF of 29042 and 29055?

We will first find the prime factorization of 29042 and 29055. After we will calculate the factors of 29042 and 29055 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29055

Prime factors of 29055 are 3, 5, 13, 149. Prime factorization of 29055 in exponential form is:

29055 = 3¹ × 5¹ × 13¹ × 149¹

Step-3: Factors of 29042

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

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

Step-4: Factors of 29055

List of positive integer factors of 29055 that divides 29042 without a remainder.

1, 3, 5, 13, 15, 39, 65, 149, 195, 447, 745, 1937, 2235, 5811, 9685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29042 and 29055. The biggest common factor number is the GCF number.
So the greatest common factor 29042 and 29055 is 13.

Also check out the Least Common Multiple of 29042 and 29055