What is the Greatest Common Factor of 71132 and 71141?

Greatest common factor (GCF) of 71132 and 71141 is 1.

GCF(71132,71141) = 1

We will now calculate the prime factors of 71132 and 71141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71132 and 71141.

How to find the GCF of 71132 and 71141?

We will first find the prime factorization of 71132 and 71141. After we will calculate the factors of 71132 and 71141 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 71141

Prime factors of 71141 are 7, 10163. Prime factorization of 71141 in exponential form is:

71141 = 7¹ × 10163¹

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 71141

List of positive integer factors of 71141 that divides 71132 without a remainder.

1, 7, 10163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71132 and 71141. The biggest common factor number is the GCF number.
So the greatest common factor 71132 and 71141 is 1.

Also check out the Least Common Multiple of 71132 and 71141