What is the Greatest Common Factor of 29029 and 29042?

Greatest common factor (GCF) of 29029 and 29042 is 13.

GCF(29029,29042) = 13

We will now calculate the prime factors of 29029 and 29042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29029 and 29042.

How to find the GCF of 29029 and 29042?

We will first find the prime factorization of 29029 and 29042. After we will calculate the factors of 29029 and 29042 and find the biggest common factor number .

Step-1: 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-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 29029

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

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

Step-4: Factors of 29042

List of positive integer factors of 29042 that divides 29029 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29029 and 29042. The biggest common factor number is the GCF number.
So the greatest common factor 29029 and 29042 is 13.

Also check out the Least Common Multiple of 29029 and 29042