What is the Greatest Common Factor of 71104 and 71124?

Greatest common factor (GCF) of 71104 and 71124 is 4.

GCF(71104,71124) = 4

We will now calculate the prime factors of 71104 and 71124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71104 and 71124.

How to find the GCF of 71104 and 71124?

We will first find the prime factorization of 71104 and 71124. After we will calculate the factors of 71104 and 71124 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 71124

Prime factors of 71124 are 2, 3, 5927. Prime factorization of 71124 in exponential form is:

71124 = 2² × 3¹ × 5927¹

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 71124

List of positive integer factors of 71124 that divides 71104 without a remainder.

1, 2, 3, 4, 6, 12, 5927, 11854, 17781, 23708, 35562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71104 and 71124. The biggest common factor number is the GCF number.
So the greatest common factor 71104 and 71124 is 4.

Also check out the Least Common Multiple of 71104 and 71124