What is the Greatest Common Factor of 56265 and 56276?

Greatest common factor (GCF) of 56265 and 56276 is 11.

GCF(56265,56276) = 11

We will now calculate the prime factors of 56265 and 56276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56265 and 56276.

How to find the GCF of 56265 and 56276?

We will first find the prime factorization of 56265 and 56276. After we will calculate the factors of 56265 and 56276 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 56276

Prime factors of 56276 are 2, 11, 1279. Prime factorization of 56276 in exponential form is:

56276 = 2² × 11¹ × 1279¹

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 56276

List of positive integer factors of 56276 that divides 56265 without a remainder.

1, 2, 4, 11, 22, 44, 1279, 2558, 5116, 14069, 28138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56265 and 56276. The biggest common factor number is the GCF number.
So the greatest common factor 56265 and 56276 is 11.

Also check out the Least Common Multiple of 56265 and 56276