What is the Greatest Common Factor of 71030 and 71050?

Greatest common factor (GCF) of 71030 and 71050 is 10.

GCF(71030,71050) = 10

We will now calculate the prime factors of 71030 and 71050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71030 and 71050.

How to find the GCF of 71030 and 71050?

We will first find the prime factorization of 71030 and 71050. After we will calculate the factors of 71030 and 71050 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 71030

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

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

Step-4: Factors of 71050

List of positive integer factors of 71050 that divides 71030 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71030 and 71050. The biggest common factor number is the GCF number.
So the greatest common factor 71030 and 71050 is 10.

Also check out the Least Common Multiple of 71030 and 71050