What is the Greatest Common Factor of 62510 and 62525?

Greatest common factor (GCF) of 62510 and 62525 is 5.

GCF(62510,62525) = 5

We will now calculate the prime factors of 62510 and 62525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62510 and 62525.

How to find the GCF of 62510 and 62525?

We will first find the prime factorization of 62510 and 62525. After we will calculate the factors of 62510 and 62525 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62525

Prime factors of 62525 are 5, 41, 61. Prime factorization of 62525 in exponential form is:

62525 = 5² × 41¹ × 61¹

Step-3: Factors of 62510

List of positive integer factors of 62510 that divides 62510 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

Step-4: Factors of 62525

List of positive integer factors of 62525 that divides 62510 without a remainder.

1, 5, 25, 41, 61, 205, 305, 1025, 1525, 2501, 12505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62510 and 62525. The biggest common factor number is the GCF number.
So the greatest common factor 62510 and 62525 is 5.

Also check out the Least Common Multiple of 62510 and 62525