What is the Greatest Common Factor of 71019 and 71032?

Greatest common factor (GCF) of 71019 and 71032 is 13.

GCF(71019,71032) = 13

We will now calculate the prime factors of 71019 and 71032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71019 and 71032.

How to find the GCF of 71019 and 71032?

We will first find the prime factorization of 71019 and 71032. After we will calculate the factors of 71019 and 71032 and find the biggest common factor number .

Step-1: Prime Factorization of 71019

Prime factors of 71019 are 3, 13, 607. Prime factorization of 71019 in exponential form is:

71019 = 3² × 13¹ × 607¹

Step-2: Prime Factorization of 71032

Prime factors of 71032 are 2, 13, 683. Prime factorization of 71032 in exponential form is:

71032 = 2³ × 13¹ × 683¹

Step-3: Factors of 71019

List of positive integer factors of 71019 that divides 71019 without a remainder.

1, 3, 9, 13, 39, 117, 607, 1821, 5463, 7891, 23673

Step-4: Factors of 71032

List of positive integer factors of 71032 that divides 71019 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 683, 1366, 2732, 5464, 8879, 17758, 35516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71019 and 71032. The biggest common factor number is the GCF number.
So the greatest common factor 71019 and 71032 is 13.

Also check out the Least Common Multiple of 71019 and 71032