What is the Greatest Common Factor of 71132 and 71139?

Greatest common factor (GCF) of 71132 and 71139 is 1.

GCF(71132,71139) = 1

We will now calculate the prime factors of 71132 and 71139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71132 and 71139.

How to find the GCF of 71132 and 71139?

We will first find the prime factorization of 71132 and 71139. After we will calculate the factors of 71132 and 71139 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 71139

Prime factors of 71139 are 3, 23, 1031. Prime factorization of 71139 in exponential form is:

71139 = 3¹ × 23¹ × 1031¹

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 71139

List of positive integer factors of 71139 that divides 71132 without a remainder.

1, 3, 23, 69, 1031, 3093, 23713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71132 and 71139. The biggest common factor number is the GCF number.
So the greatest common factor 71132 and 71139 is 1.

Also check out the Least Common Multiple of 71132 and 71139