What is the Greatest Common Factor of 42500 and 42520?

Greatest common factor (GCF) of 42500 and 42520 is 20.

GCF(42500,42520) = 20

We will now calculate the prime factors of 42500 and 42520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42500 and 42520.

How to find the GCF of 42500 and 42520?

We will first find the prime factorization of 42500 and 42520. After we will calculate the factors of 42500 and 42520 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 42520

Prime factors of 42520 are 2, 5, 1063. Prime factorization of 42520 in exponential form is:

42520 = 2³ × 5¹ × 1063¹

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 42520

List of positive integer factors of 42520 that divides 42500 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1063, 2126, 4252, 5315, 8504, 10630, 21260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42500 and 42520. The biggest common factor number is the GCF number.
So the greatest common factor 42500 and 42520 is 20.

Also check out the Least Common Multiple of 42500 and 42520