What is the Greatest Common Factor of 71050 and 71057?

Greatest common factor (GCF) of 71050 and 71057 is 7.

GCF(71050,71057) = 7

We will now calculate the prime factors of 71050 and 71057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71050 and 71057.

How to find the GCF of 71050 and 71057?

We will first find the prime factorization of 71050 and 71057. After we will calculate the factors of 71050 and 71057 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 71057

Prime factors of 71057 are 7, 10151. Prime factorization of 71057 in exponential form is:

71057 = 7¹ × 10151¹

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 71057

List of positive integer factors of 71057 that divides 71050 without a remainder.

1, 7, 10151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71050 and 71057. The biggest common factor number is the GCF number.
So the greatest common factor 71050 and 71057 is 7.

Also check out the Least Common Multiple of 71050 and 71057