What is the Greatest Common Factor of 71104 and 71108?

Greatest common factor (GCF) of 71104 and 71108 is 4.

GCF(71104,71108) = 4

We will now calculate the prime factors of 71104 and 71108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71104 and 71108.

How to find the GCF of 71104 and 71108?

We will first find the prime factorization of 71104 and 71108. After we will calculate the factors of 71104 and 71108 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 71108

Prime factors of 71108 are 2, 29, 613. Prime factorization of 71108 in exponential form is:

71108 = 2² × 29¹ × 613¹

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 71108

List of positive integer factors of 71108 that divides 71104 without a remainder.

1, 2, 4, 29, 58, 116, 613, 1226, 2452, 17777, 35554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71104 and 71108. The biggest common factor number is the GCF number.
So the greatest common factor 71104 and 71108 is 4.

Also check out the Least Common Multiple of 71104 and 71108