What is the Greatest Common Factor of 62490 and 62500?

Greatest common factor (GCF) of 62490 and 62500 is 10.

GCF(62490,62500) = 10

We will now calculate the prime factors of 62490 and 62500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62490 and 62500.

How to find the GCF of 62490 and 62500?

We will first find the prime factorization of 62490 and 62500. After we will calculate the factors of 62490 and 62500 and find the biggest common factor number .

Step-1: Prime Factorization of 62490

Prime factors of 62490 are 2, 3, 5, 2083. Prime factorization of 62490 in exponential form is:

62490 = 2¹ × 3¹ × 5¹ × 2083¹

Step-2: Prime Factorization of 62500

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

62500 = 2² × 5⁶

Step-3: Factors of 62490

List of positive integer factors of 62490 that divides 62490 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2083, 4166, 6249, 10415, 12498, 20830, 31245

Step-4: Factors of 62500

List of positive integer factors of 62500 that divides 62490 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62490 and 62500. The biggest common factor number is the GCF number.
So the greatest common factor 62490 and 62500 is 10.

Also check out the Least Common Multiple of 62490 and 62500