What is the Greatest Common Factor of 42500 and 42506?

Greatest common factor (GCF) of 42500 and 42506 is 2.

GCF(42500,42506) = 2

We will now calculate the prime factors of 42500 and 42506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42500 and 42506.

How to find the GCF of 42500 and 42506?

We will first find the prime factorization of 42500 and 42506. After we will calculate the factors of 42500 and 42506 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42506

Prime factors of 42506 are 2, 53, 401. Prime factorization of 42506 in exponential form is:

42506 = 2¹ × 53¹ × 401¹

Step-3: Factors of 42500

List of positive integer factors of 42500 that divides 42500 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

Step-4: Factors of 42506

List of positive integer factors of 42506 that divides 42500 without a remainder.

1, 2, 53, 106, 401, 802, 21253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42500 and 42506. The biggest common factor number is the GCF number.
So the greatest common factor 42500 and 42506 is 2.

Also check out the Least Common Multiple of 42500 and 42506