What is the Greatest Common Factor of 42496 and 42500?

Greatest common factor (GCF) of 42496 and 42500 is 4.

GCF(42496,42500) = 4

We will now calculate the prime factors of 42496 and 42500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42496 and 42500.

How to find the GCF of 42496 and 42500?

We will first find the prime factorization of 42496 and 42500. After we will calculate the factors of 42496 and 42500 and find the biggest common factor number .

Step-1: Prime Factorization of 42496

Prime factors of 42496 are 2, 83. Prime factorization of 42496 in exponential form is:

42496 = 2⁹ × 83¹

Step-2: Prime Factorization of 42500

Prime factors of 42500 are 2, 5, 17. Prime factorization of 42500 in exponential form is:

42500 = 2² × 5⁴ × 17¹

Step-3: Factors of 42496

List of positive integer factors of 42496 that divides 42496 without a remainder.

1, 2, 4, 8, 16, 32, 64, 83, 128, 166, 256, 332, 512, 664, 1328, 2656, 5312, 10624, 21248

Step-4: Factors of 42500

List of positive integer factors of 42500 that divides 42496 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 625, 850, 1250, 1700, 2125, 2500, 4250, 8500, 10625, 21250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42496 and 42500. The biggest common factor number is the GCF number.
So the greatest common factor 42496 and 42500 is 4.

Also check out the Least Common Multiple of 42496 and 42500