What is the Greatest Common Factor of 71126 and 71146?

Greatest common factor (GCF) of 71126 and 71146 is 2.

GCF(71126,71146) = 2

We will now calculate the prime factors of 71126 and 71146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71126 and 71146.

How to find the GCF of 71126 and 71146?

We will first find the prime factorization of 71126 and 71146. After we will calculate the factors of 71126 and 71146 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71146

Prime factors of 71146 are 2, 35573. Prime factorization of 71146 in exponential form is:

71146 = 2¹ × 35573¹

Step-3: Factors of 71126

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

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

Step-4: Factors of 71146

List of positive integer factors of 71146 that divides 71126 without a remainder.

1, 2, 35573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71126 and 71146. The biggest common factor number is the GCF number.
So the greatest common factor 71126 and 71146 is 2.

Also check out the Least Common Multiple of 71126 and 71146