What is the Greatest Common Factor of 71132 and 71144?

Greatest common factor (GCF) of 71132 and 71144 is 4.

GCF(71132,71144) = 4

We will now calculate the prime factors of 71132 and 71144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71132 and 71144.

How to find the GCF of 71132 and 71144?

We will first find the prime factorization of 71132 and 71144. After we will calculate the factors of 71132 and 71144 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 71144

Prime factors of 71144 are 2, 8893. Prime factorization of 71144 in exponential form is:

71144 = 2³ × 8893¹

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 71144

List of positive integer factors of 71144 that divides 71132 without a remainder.

1, 2, 4, 8, 8893, 17786, 35572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71132 and 71144. The biggest common factor number is the GCF number.
So the greatest common factor 71132 and 71144 is 4.

Also check out the Least Common Multiple of 71132 and 71144