What is the Greatest Common Factor of 71138 and 71158?

Greatest common factor (GCF) of 71138 and 71158 is 2.

GCF(71138,71158) = 2

We will now calculate the prime factors of 71138 and 71158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71138 and 71158.

How to find the GCF of 71138 and 71158?

We will first find the prime factorization of 71138 and 71158. After we will calculate the factors of 71138 and 71158 and find the biggest common factor number .

Step-1: Prime Factorization of 71138

Prime factors of 71138 are 2, 35569. Prime factorization of 71138 in exponential form is:

71138 = 2¹ × 35569¹

Step-2: Prime Factorization of 71158

Prime factors of 71158 are 2, 47, 757. Prime factorization of 71158 in exponential form is:

71158 = 2¹ × 47¹ × 757¹

Step-3: Factors of 71138

List of positive integer factors of 71138 that divides 71138 without a remainder.

1, 2, 35569

Step-4: Factors of 71158

List of positive integer factors of 71158 that divides 71138 without a remainder.

1, 2, 47, 94, 757, 1514, 35579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71138 and 71158. The biggest common factor number is the GCF number.
So the greatest common factor 71138 and 71158 is 2.

Also check out the Least Common Multiple of 71138 and 71158