What is the Greatest Common Factor of 71112 and 71129?

Greatest common factor (GCF) of 71112 and 71129 is 1.

GCF(71112,71129) = 1

We will now calculate the prime factors of 71112 and 71129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71112 and 71129.

How to find the GCF of 71112 and 71129?

We will first find the prime factorization of 71112 and 71129. After we will calculate the factors of 71112 and 71129 and find the biggest common factor number .

Step-1: Prime Factorization of 71112

Prime factors of 71112 are 2, 3, 2963. Prime factorization of 71112 in exponential form is:

71112 = 2³ × 3¹ × 2963¹

Step-2: Prime Factorization of 71129

Prime factors of 71129 are 71129. Prime factorization of 71129 in exponential form is:

71129 = 71129¹

Step-3: Factors of 71112

List of positive integer factors of 71112 that divides 71112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2963, 5926, 8889, 11852, 17778, 23704, 35556

Step-4: Factors of 71129

List of positive integer factors of 71129 that divides 71112 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71112 and 71129. The biggest common factor number is the GCF number.
So the greatest common factor 71112 and 71129 is 1.

Also check out the Least Common Multiple of 71112 and 71129