What is the Greatest Common Factor of 71043 and 71050?

Greatest common factor (GCF) of 71043 and 71050 is 7.

GCF(71043,71050) = 7

We will now calculate the prime factors of 71043 and 71050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71043 and 71050.

How to find the GCF of 71043 and 71050?

We will first find the prime factorization of 71043 and 71050. After we will calculate the factors of 71043 and 71050 and find the biggest common factor number .

Step-1: Prime Factorization of 71043

Prime factors of 71043 are 3, 7, 17, 199. Prime factorization of 71043 in exponential form is:

71043 = 3¹ × 7¹ × 17¹ × 199¹

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 71043

List of positive integer factors of 71043 that divides 71043 without a remainder.

1, 3, 7, 17, 21, 51, 119, 199, 357, 597, 1393, 3383, 4179, 10149, 23681

Step-4: Factors of 71050

List of positive integer factors of 71050 that divides 71043 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 71043 and 71050. The biggest common factor number is the GCF number.
So the greatest common factor 71043 and 71050 is 7.

Also check out the Least Common Multiple of 71043 and 71050