What is the Greatest Common Factor of 56505 and 56520?

Greatest common factor (GCF) of 56505 and 56520 is 15.

GCF(56505,56520) = 15

We will now calculate the prime factors of 56505 and 56520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56505 and 56520.

How to find the GCF of 56505 and 56520?

We will first find the prime factorization of 56505 and 56520. After we will calculate the factors of 56505 and 56520 and find the biggest common factor number .

Step-1: Prime Factorization of 56505

Prime factors of 56505 are 3, 5, 3767. Prime factorization of 56505 in exponential form is:

56505 = 3¹ × 5¹ × 3767¹

Step-2: Prime Factorization of 56520

Prime factors of 56520 are 2, 3, 5, 157. Prime factorization of 56520 in exponential form is:

56520 = 2³ × 3² × 5¹ × 157¹

Step-3: Factors of 56505

List of positive integer factors of 56505 that divides 56505 without a remainder.

1, 3, 5, 15, 3767, 11301, 18835

Step-4: Factors of 56520

List of positive integer factors of 56520 that divides 56505 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 157, 180, 314, 360, 471, 628, 785, 942, 1256, 1413, 1570, 1884, 2355, 2826, 3140, 3768, 4710, 5652, 6280, 7065, 9420, 11304, 14130, 18840, 28260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56505 and 56520. The biggest common factor number is the GCF number.
So the greatest common factor 56505 and 56520 is 15.

Also check out the Least Common Multiple of 56505 and 56520