What is the Greatest Common Factor of 56265 and 56285?

Greatest common factor (GCF) of 56265 and 56285 is 5.

GCF(56265,56285) = 5

We will now calculate the prime factors of 56265 and 56285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56265 and 56285.

How to find the GCF of 56265 and 56285?

We will first find the prime factorization of 56265 and 56285. After we will calculate the factors of 56265 and 56285 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 56285

Prime factors of 56285 are 5, 11257. Prime factorization of 56285 in exponential form is:

56285 = 5¹ × 11257¹

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 56285

List of positive integer factors of 56285 that divides 56265 without a remainder.

1, 5, 11257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56265 and 56285. The biggest common factor number is the GCF number.
So the greatest common factor 56265 and 56285 is 5.

Also check out the Least Common Multiple of 56265 and 56285