What is the Greatest Common Factor of 56265 and 56275?

Greatest common factor (GCF) of 56265 and 56275 is 5.

GCF(56265,56275) = 5

We will now calculate the prime factors of 56265 and 56275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56265 and 56275.

How to find the GCF of 56265 and 56275?

We will first find the prime factorization of 56265 and 56275. After we will calculate the factors of 56265 and 56275 and find the biggest common factor number .

Step-1: Prime Factorization of 56265

Prime factors of 56265 are 3, 5, 11, 31. Prime factorization of 56265 in exponential form is:

56265 = 3¹ × 5¹ × 11² × 31¹

Step-2: Prime Factorization of 56275

Prime factors of 56275 are 5, 2251. Prime factorization of 56275 in exponential form is:

56275 = 5² × 2251¹

Step-3: Factors of 56265

List of positive integer factors of 56265 that divides 56265 without a remainder.

1, 3, 5, 11, 15, 31, 33, 55, 93, 121, 155, 165, 341, 363, 465, 605, 1023, 1705, 1815, 3751, 5115, 11253, 18755

Step-4: Factors of 56275

List of positive integer factors of 56275 that divides 56265 without a remainder.

1, 5, 25, 2251, 11255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56265 and 56275. The biggest common factor number is the GCF number.
So the greatest common factor 56265 and 56275 is 5.

Also check out the Least Common Multiple of 56265 and 56275