What is the Greatest Common Factor of 71019 and 71030?

Greatest common factor (GCF) of 71019 and 71030 is 1.

GCF(71019,71030) = 1

We will now calculate the prime factors of 71019 and 71030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71019 and 71030.

How to find the GCF of 71019 and 71030?

We will first find the prime factorization of 71019 and 71030. After we will calculate the factors of 71019 and 71030 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 71030

Prime factors of 71030 are 2, 5, 7103. Prime factorization of 71030 in exponential form is:

71030 = 2¹ × 5¹ × 7103¹

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 71030

List of positive integer factors of 71030 that divides 71019 without a remainder.

1, 2, 5, 10, 7103, 14206, 35515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71019 and 71030. The biggest common factor number is the GCF number.
So the greatest common factor 71019 and 71030 is 1.

Also check out the Least Common Multiple of 71019 and 71030