What is the Greatest Common Factor of 62500 and 62510?

Greatest common factor (GCF) of 62500 and 62510 is 10.

GCF(62500,62510) = 10

We will now calculate the prime factors of 62500 and 62510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62500 and 62510.

How to find the GCF of 62500 and 62510?

We will first find the prime factorization of 62500 and 62510. After we will calculate the factors of 62500 and 62510 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 62510

Prime factors of 62510 are 2, 5, 7, 19, 47. Prime factorization of 62510 in exponential form is:

62510 = 2¹ × 5¹ × 7¹ × 19¹ × 47¹

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 62510

List of positive integer factors of 62510 that divides 62500 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 47, 70, 94, 95, 133, 190, 235, 266, 329, 470, 658, 665, 893, 1330, 1645, 1786, 3290, 4465, 6251, 8930, 12502, 31255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62500 and 62510. The biggest common factor number is the GCF number.
So the greatest common factor 62500 and 62510 is 10.

Also check out the Least Common Multiple of 62500 and 62510