What is the Greatest Common Factor of 87540 and 87555?

Greatest common factor (GCF) of 87540 and 87555 is 15.

GCF(87540,87555) = 15

We will now calculate the prime factors of 87540 and 87555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87540 and 87555.

How to find the GCF of 87540 and 87555?

We will first find the prime factorization of 87540 and 87555. After we will calculate the factors of 87540 and 87555 and find the biggest common factor number .

Step-1: Prime Factorization of 87540

Prime factors of 87540 are 2, 3, 5, 1459. Prime factorization of 87540 in exponential form is:

87540 = 2² × 3¹ × 5¹ × 1459¹

Step-2: Prime Factorization of 87555

Prime factors of 87555 are 3, 5, 13, 449. Prime factorization of 87555 in exponential form is:

87555 = 3¹ × 5¹ × 13¹ × 449¹

Step-3: Factors of 87540

List of positive integer factors of 87540 that divides 87540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1459, 2918, 4377, 5836, 7295, 8754, 14590, 17508, 21885, 29180, 43770

Step-4: Factors of 87555

List of positive integer factors of 87555 that divides 87540 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 449, 1347, 2245, 5837, 6735, 17511, 29185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87540 and 87555. The biggest common factor number is the GCF number.
So the greatest common factor 87540 and 87555 is 15.

Also check out the Least Common Multiple of 87540 and 87555