What is the Greatest Common Factor of 62500 and 62505?

Greatest common factor (GCF) of 62500 and 62505 is 5.

GCF(62500,62505) = 5

We will now calculate the prime factors of 62500 and 62505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62500 and 62505.

How to find the GCF of 62500 and 62505?

We will first find the prime factorization of 62500 and 62505. After we will calculate the factors of 62500 and 62505 and find the biggest common factor number .

Step-1: Prime Factorization of 62500

Prime factors of 62500 are 2, 5. Prime factorization of 62500 in exponential form is:

62500 = 2² × 5⁶

Step-2: Prime Factorization of 62505

Prime factors of 62505 are 3, 5, 463. Prime factorization of 62505 in exponential form is:

62505 = 3³ × 5¹ × 463¹

Step-3: Factors of 62500

List of positive integer factors of 62500 that divides 62500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250, 12500, 15625, 31250

Step-4: Factors of 62505

List of positive integer factors of 62505 that divides 62500 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 463, 1389, 2315, 4167, 6945, 12501, 20835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62500 and 62505. The biggest common factor number is the GCF number.
So the greatest common factor 62500 and 62505 is 5.

Also check out the Least Common Multiple of 62500 and 62505