What is the Greatest Common Factor of 71115 and 71126?

Greatest common factor (GCF) of 71115 and 71126 is 11.

GCF(71115,71126) = 11

We will now calculate the prime factors of 71115 and 71126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71115 and 71126.

How to find the GCF of 71115 and 71126?

We will first find the prime factorization of 71115 and 71126. After we will calculate the factors of 71115 and 71126 and find the biggest common factor number .

Step-1: Prime Factorization of 71115

Prime factors of 71115 are 3, 5, 11, 431. Prime factorization of 71115 in exponential form is:

71115 = 3¹ × 5¹ × 11¹ × 431¹

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 71115

List of positive integer factors of 71115 that divides 71115 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 431, 1293, 2155, 4741, 6465, 14223, 23705

Step-4: Factors of 71126

List of positive integer factors of 71126 that divides 71115 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 71115 and 71126. The biggest common factor number is the GCF number.
So the greatest common factor 71115 and 71126 is 11.

Also check out the Least Common Multiple of 71115 and 71126