What is the Greatest Common Factor of 42500 and 42509?

Greatest common factor (GCF) of 42500 and 42509 is 1.

GCF(42500,42509) = 1

We will now calculate the prime factors of 42500 and 42509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42500 and 42509.

How to find the GCF of 42500 and 42509?

We will first find the prime factorization of 42500 and 42509. After we will calculate the factors of 42500 and 42509 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 42509

Prime factors of 42509 are 42509. Prime factorization of 42509 in exponential form is:

42509 = 42509¹

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 42509

List of positive integer factors of 42509 that divides 42500 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42500 and 42509. The biggest common factor number is the GCF number.
So the greatest common factor 42500 and 42509 is 1.

Also check out the Least Common Multiple of 42500 and 42509