What is the Greatest Common Factor of 71104 and 71122?

Greatest common factor (GCF) of 71104 and 71122 is 2.

GCF(71104,71122) = 2

We will now calculate the prime factors of 71104 and 71122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71104 and 71122.

How to find the GCF of 71104 and 71122?

We will first find the prime factorization of 71104 and 71122. After we will calculate the factors of 71104 and 71122 and find the biggest common factor number .

Step-1: Prime Factorization of 71104

Prime factors of 71104 are 2, 11, 101. Prime factorization of 71104 in exponential form is:

71104 = 2⁶ × 11¹ × 101¹

Step-2: Prime Factorization of 71122

Prime factors of 71122 are 2, 43, 827. Prime factorization of 71122 in exponential form is:

71122 = 2¹ × 43¹ × 827¹

Step-3: Factors of 71104

List of positive integer factors of 71104 that divides 71104 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 101, 176, 202, 352, 404, 704, 808, 1111, 1616, 2222, 3232, 4444, 6464, 8888, 17776, 35552

Step-4: Factors of 71122

List of positive integer factors of 71122 that divides 71104 without a remainder.

1, 2, 43, 86, 827, 1654, 35561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71104 and 71122. The biggest common factor number is the GCF number.
So the greatest common factor 71104 and 71122 is 2.

Also check out the Least Common Multiple of 71104 and 71122