What is the Greatest Common Factor of 71126 and 71132?

Greatest common factor (GCF) of 71126 and 71132 is 2.

GCF(71126,71132) = 2

We will now calculate the prime factors of 71126 and 71132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71126 and 71132.

How to find the GCF of 71126 and 71132?

We will first find the prime factorization of 71126 and 71132. After we will calculate the factors of 71126 and 71132 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 71132

Prime factors of 71132 are 2, 17783. Prime factorization of 71132 in exponential form is:

71132 = 2² × 17783¹

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 71132

List of positive integer factors of 71132 that divides 71126 without a remainder.

1, 2, 4, 17783, 35566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71126 and 71132. The biggest common factor number is the GCF number.
So the greatest common factor 71126 and 71132 is 2.

Also check out the Least Common Multiple of 71126 and 71132