What is the Greatest Common Factor of 71093 and 71104?

Greatest common factor (GCF) of 71093 and 71104 is 11.

GCF(71093,71104) = 11

We will now calculate the prime factors of 71093 and 71104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71093 and 71104.

How to find the GCF of 71093 and 71104?

We will first find the prime factorization of 71093 and 71104. After we will calculate the factors of 71093 and 71104 and find the biggest common factor number .

Step-1: Prime Factorization of 71093

Prime factors of 71093 are 11, 23, 281. Prime factorization of 71093 in exponential form is:

71093 = 11¹ × 23¹ × 281¹

Step-2: 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-3: Factors of 71093

List of positive integer factors of 71093 that divides 71093 without a remainder.

1, 11, 23, 253, 281, 3091, 6463

Step-4: Factors of 71104

List of positive integer factors of 71104 that divides 71093 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71093 and 71104. The biggest common factor number is the GCF number.
So the greatest common factor 71093 and 71104 is 11.

Also check out the Least Common Multiple of 71093 and 71104