What is the Greatest Common Factor of 29014 and 29032?

Greatest common factor (GCF) of 29014 and 29032 is 2.

GCF(29014,29032) = 2

We will now calculate the prime factors of 29014 and 29032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29014 and 29032.

How to find the GCF of 29014 and 29032?

We will first find the prime factorization of 29014 and 29032. After we will calculate the factors of 29014 and 29032 and find the biggest common factor number .

Step-1: Prime Factorization of 29014

Prime factors of 29014 are 2, 89, 163. Prime factorization of 29014 in exponential form is:

29014 = 2¹ × 89¹ × 163¹

Step-2: 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-3: Factors of 29014

List of positive integer factors of 29014 that divides 29014 without a remainder.

1, 2, 89, 163, 178, 326, 14507

Step-4: Factors of 29032

List of positive integer factors of 29032 that divides 29014 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29014 and 29032. The biggest common factor number is the GCF number.
So the greatest common factor 29014 and 29032 is 2.

Also check out the Least Common Multiple of 29014 and 29032