What is the Greatest Common Factor of 71050 and 71059?

Greatest common factor (GCF) of 71050 and 71059 is 1.

GCF(71050,71059) = 1

We will now calculate the prime factors of 71050 and 71059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71050 and 71059.

How to find the GCF of 71050 and 71059?

We will first find the prime factorization of 71050 and 71059. After we will calculate the factors of 71050 and 71059 and find the biggest common factor number .

Step-1: Prime Factorization of 71050

Prime factors of 71050 are 2, 5, 7, 29. Prime factorization of 71050 in exponential form is:

71050 = 2¹ × 5² × 7² × 29¹

Step-2: Prime Factorization of 71059

Prime factors of 71059 are 71059. Prime factorization of 71059 in exponential form is:

71059 = 71059¹

Step-3: Factors of 71050

List of positive integer factors of 71050 that divides 71050 without a remainder.

1, 2, 5, 7, 10, 14, 25, 29, 35, 49, 50, 58, 70, 98, 145, 175, 203, 245, 290, 350, 406, 490, 725, 1015, 1225, 1421, 1450, 2030, 2450, 2842, 5075, 7105, 10150, 14210, 35525

Step-4: Factors of 71059

List of positive integer factors of 71059 that divides 71050 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71050 and 71059. The biggest common factor number is the GCF number.
So the greatest common factor 71050 and 71059 is 1.

Also check out the Least Common Multiple of 71050 and 71059