What is the Greatest Common Factor of 71140 and 71155?

Greatest common factor (GCF) of 71140 and 71155 is 5.

GCF(71140,71155) = 5

We will now calculate the prime factors of 71140 and 71155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71140 and 71155.

How to find the GCF of 71140 and 71155?

We will first find the prime factorization of 71140 and 71155. After we will calculate the factors of 71140 and 71155 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 71155

Prime factors of 71155 are 5, 7, 19, 107. Prime factorization of 71155 in exponential form is:

71155 = 5¹ × 7¹ × 19¹ × 107¹

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 71155

List of positive integer factors of 71155 that divides 71140 without a remainder.

1, 5, 7, 19, 35, 95, 107, 133, 535, 665, 749, 2033, 3745, 10165, 14231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71140 and 71155. The biggest common factor number is the GCF number.
So the greatest common factor 71140 and 71155 is 5.

Also check out the Least Common Multiple of 71140 and 71155