What is the Greatest Common Factor of 71106 and 71115?

Greatest common factor (GCF) of 71106 and 71115 is 3.

GCF(71106,71115) = 3

We will now calculate the prime factors of 71106 and 71115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71106 and 71115.

How to find the GCF of 71106 and 71115?

We will first find the prime factorization of 71106 and 71115. After we will calculate the factors of 71106 and 71115 and find the biggest common factor number .

Step-1: Prime Factorization of 71106

Prime factors of 71106 are 2, 3, 7, 1693. Prime factorization of 71106 in exponential form is:

71106 = 2¹ × 3¹ × 7¹ × 1693¹

Step-2: 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-3: Factors of 71106

List of positive integer factors of 71106 that divides 71106 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1693, 3386, 5079, 10158, 11851, 23702, 35553

Step-4: Factors of 71115

List of positive integer factors of 71115 that divides 71106 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71106 and 71115. The biggest common factor number is the GCF number.
So the greatest common factor 71106 and 71115 is 3.

Also check out the Least Common Multiple of 71106 and 71115