What is the Greatest Common Factor of 71596 and 71600?

Greatest common factor (GCF) of 71596 and 71600 is 4.

GCF(71596,71600) = 4

We will now calculate the prime factors of 71596 and 71600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71596 and 71600.

How to find the GCF of 71596 and 71600?

We will first find the prime factorization of 71596 and 71600. After we will calculate the factors of 71596 and 71600 and find the biggest common factor number .

Step-1: Prime Factorization of 71596

Prime factors of 71596 are 2, 7, 2557. Prime factorization of 71596 in exponential form is:

71596 = 2² × 7¹ × 2557¹

Step-2: Prime Factorization of 71600

Prime factors of 71600 are 2, 5, 179. Prime factorization of 71600 in exponential form is:

71600 = 2⁴ × 5² × 179¹

Step-3: Factors of 71596

List of positive integer factors of 71596 that divides 71596 without a remainder.

1, 2, 4, 7, 14, 28, 2557, 5114, 10228, 17899, 35798

Step-4: Factors of 71600

List of positive integer factors of 71600 that divides 71596 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 179, 200, 358, 400, 716, 895, 1432, 1790, 2864, 3580, 4475, 7160, 8950, 14320, 17900, 35800

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71596 and 71600. The biggest common factor number is the GCF number.
So the greatest common factor 71596 and 71600 is 4.

Also check out the Least Common Multiple of 71596 and 71600