What is the Greatest Common Factor of 71132 and 71138?

Greatest common factor (GCF) of 71132 and 71138 is 2.

GCF(71132,71138) = 2

We will now calculate the prime factors of 71132 and 71138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71132 and 71138.

How to find the GCF of 71132 and 71138?

We will first find the prime factorization of 71132 and 71138. After we will calculate the factors of 71132 and 71138 and find the biggest common factor number .

Step-1: Prime Factorization of 71132

Prime factors of 71132 are 2, 17783. Prime factorization of 71132 in exponential form is:

71132 = 2² × 17783¹

Step-2: Prime Factorization of 71138

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

71138 = 2¹ × 35569¹

Step-3: Factors of 71132

List of positive integer factors of 71132 that divides 71132 without a remainder.

1, 2, 4, 17783, 35566

Step-4: Factors of 71138

List of positive integer factors of 71138 that divides 71132 without a remainder.

1, 2, 35569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71132 and 71138. The biggest common factor number is the GCF number.
So the greatest common factor 71132 and 71138 is 2.

Also check out the Least Common Multiple of 71132 and 71138