What is the Greatest Common Factor of 62535 and 62550?

Greatest common factor (GCF) of 62535 and 62550 is 15.

GCF(62535,62550) = 15

We will now calculate the prime factors of 62535 and 62550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62535 and 62550.

How to find the GCF of 62535 and 62550?

We will first find the prime factorization of 62535 and 62550. After we will calculate the factors of 62535 and 62550 and find the biggest common factor number .

Step-1: Prime Factorization of 62535

Prime factors of 62535 are 3, 5, 11, 379. Prime factorization of 62535 in exponential form is:

62535 = 3¹ × 5¹ × 11¹ × 379¹

Step-2: Prime Factorization of 62550

Prime factors of 62550 are 2, 3, 5, 139. Prime factorization of 62550 in exponential form is:

62550 = 2¹ × 3² × 5² × 139¹

Step-3: Factors of 62535

List of positive integer factors of 62535 that divides 62535 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 379, 1137, 1895, 4169, 5685, 12507, 20845

Step-4: Factors of 62550

List of positive integer factors of 62550 that divides 62535 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 139, 150, 225, 278, 417, 450, 695, 834, 1251, 1390, 2085, 2502, 3475, 4170, 6255, 6950, 10425, 12510, 20850, 31275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62535 and 62550. The biggest common factor number is the GCF number.
So the greatest common factor 62535 and 62550 is 15.

Also check out the Least Common Multiple of 62535 and 62550