What is the Greatest Common Factor of 71114 and 71126?

Greatest common factor (GCF) of 71114 and 71126 is 2.

GCF(71114,71126) = 2

We will now calculate the prime factors of 71114 and 71126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71114 and 71126.

How to find the GCF of 71114 and 71126?

We will first find the prime factorization of 71114 and 71126. After we will calculate the factors of 71114 and 71126 and find the biggest common factor number .

Step-1: Prime Factorization of 71114

Prime factors of 71114 are 2, 31, 37. Prime factorization of 71114 in exponential form is:

71114 = 2¹ × 31² × 37¹

Step-2: Prime Factorization of 71126

Prime factors of 71126 are 2, 11, 53, 61. Prime factorization of 71126 in exponential form is:

71126 = 2¹ × 11¹ × 53¹ × 61¹

Step-3: Factors of 71114

List of positive integer factors of 71114 that divides 71114 without a remainder.

1, 2, 31, 37, 62, 74, 961, 1147, 1922, 2294, 35557

Step-4: Factors of 71126

List of positive integer factors of 71126 that divides 71114 without a remainder.

1, 2, 11, 22, 53, 61, 106, 122, 583, 671, 1166, 1342, 3233, 6466, 35563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71114 and 71126. The biggest common factor number is the GCF number.
So the greatest common factor 71114 and 71126 is 2.

Also check out the Least Common Multiple of 71114 and 71126