What is the Greatest Common Factor of 29013 and 29032?

Greatest common factor (GCF) of 29013 and 29032 is 19.

GCF(29013,29032) = 19

We will now calculate the prime factors of 29013 and 29032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29013 and 29032.

How to find the GCF of 29013 and 29032?

We will first find the prime factorization of 29013 and 29032. After we will calculate the factors of 29013 and 29032 and find the biggest common factor number .

Step-1: Prime Factorization of 29013

Prime factors of 29013 are 3, 19, 509. Prime factorization of 29013 in exponential form is:

29013 = 3¹ × 19¹ × 509¹

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 29013

List of positive integer factors of 29013 that divides 29013 without a remainder.

1, 3, 19, 57, 509, 1527, 9671

Step-4: Factors of 29032

List of positive integer factors of 29032 that divides 29013 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 29013 and 29032. The biggest common factor number is the GCF number.
So the greatest common factor 29013 and 29032 is 19.

Also check out the Least Common Multiple of 29013 and 29032