What is the Greatest Common Factor of 29032 and 29042?

Greatest common factor (GCF) of 29032 and 29042 is 2.

GCF(29032,29042) = 2

We will now calculate the prime factors of 29032 and 29042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29032 and 29042.

How to find the GCF of 29032 and 29042?

We will first find the prime factorization of 29032 and 29042. After we will calculate the factors of 29032 and 29042 and find the biggest common factor number .

Step-1: Prime Factorization of 29032

Prime factors of 29032 are 2, 19, 191. Prime factorization of 29032 in exponential form is:

29032 = 2³ × 19¹ × 191¹

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 29032

List of positive integer factors of 29032 that divides 29032 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 191, 382, 764, 1528, 3629, 7258, 14516

Step-4: Factors of 29042

List of positive integer factors of 29042 that divides 29032 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29032 and 29042. The biggest common factor number is the GCF number.
So the greatest common factor 29032 and 29042 is 2.

Also check out the Least Common Multiple of 29032 and 29042