What is the Greatest Common Factor of 71140 and 71150?

Greatest common factor (GCF) of 71140 and 71150 is 10.

GCF(71140,71150) = 10

We will now calculate the prime factors of 71140 and 71150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71140 and 71150.

How to find the GCF of 71140 and 71150?

We will first find the prime factorization of 71140 and 71150. After we will calculate the factors of 71140 and 71150 and find the biggest common factor number .

Step-1: Prime Factorization of 71140

Prime factors of 71140 are 2, 5, 3557. Prime factorization of 71140 in exponential form is:

71140 = 2² × 5¹ × 3557¹

Step-2: Prime Factorization of 71150

Prime factors of 71150 are 2, 5, 1423. Prime factorization of 71150 in exponential form is:

71150 = 2¹ × 5² × 1423¹

Step-3: Factors of 71140

List of positive integer factors of 71140 that divides 71140 without a remainder.

1, 2, 4, 5, 10, 20, 3557, 7114, 14228, 17785, 35570

Step-4: Factors of 71150

List of positive integer factors of 71150 that divides 71140 without a remainder.

1, 2, 5, 10, 25, 50, 1423, 2846, 7115, 14230, 35575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71140 and 71150. The biggest common factor number is the GCF number.
So the greatest common factor 71140 and 71150 is 10.

Also check out the Least Common Multiple of 71140 and 71150