What is the Greatest Common Factor of 71107 and 71112?

Greatest common factor (GCF) of 71107 and 71112 is 1.

GCF(71107,71112) = 1

We will now calculate the prime factors of 71107 and 71112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71107 and 71112.

How to find the GCF of 71107 and 71112?

We will first find the prime factorization of 71107 and 71112. After we will calculate the factors of 71107 and 71112 and find the biggest common factor number .

Step-1: Prime Factorization of 71107

Prime factors of 71107 are 211, 337. Prime factorization of 71107 in exponential form is:

71107 = 211¹ × 337¹

Step-2: 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-3: Factors of 71107

List of positive integer factors of 71107 that divides 71107 without a remainder.

1, 211, 337

Step-4: Factors of 71112

List of positive integer factors of 71112 that divides 71107 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71107 and 71112. The biggest common factor number is the GCF number.
So the greatest common factor 71107 and 71112 is 1.

Also check out the Least Common Multiple of 71107 and 71112