What is the Greatest Common Factor of 61485 and 61500?

Greatest common factor (GCF) of 61485 and 61500 is 15.

GCF(61485,61500) = 15

We will now calculate the prime factors of 61485 and 61500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61485 and 61500.

How to find the GCF of 61485 and 61500?

We will first find the prime factorization of 61485 and 61500. After we will calculate the factors of 61485 and 61500 and find the biggest common factor number .

Step-1: Prime Factorization of 61485

Prime factors of 61485 are 3, 5, 4099. Prime factorization of 61485 in exponential form is:

61485 = 3¹ × 5¹ × 4099¹

Step-2: Prime Factorization of 61500

Prime factors of 61500 are 2, 3, 5, 41. Prime factorization of 61500 in exponential form is:

61500 = 2² × 3¹ × 5³ × 41¹

Step-3: Factors of 61485

List of positive integer factors of 61485 that divides 61485 without a remainder.

1, 3, 5, 15, 4099, 12297, 20495

Step-4: Factors of 61500

List of positive integer factors of 61500 that divides 61485 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 41, 50, 60, 75, 82, 100, 123, 125, 150, 164, 205, 246, 250, 300, 375, 410, 492, 500, 615, 750, 820, 1025, 1230, 1500, 2050, 2460, 3075, 4100, 5125, 6150, 10250, 12300, 15375, 20500, 30750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61485 and 61500. The biggest common factor number is the GCF number.
So the greatest common factor 61485 and 61500 is 15.

Also check out the Least Common Multiple of 61485 and 61500