What is the Greatest Common Factor of 56254 and 56265?

Greatest common factor (GCF) of 56254 and 56265 is 11.

GCF(56254,56265) = 11

We will now calculate the prime factors of 56254 and 56265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56254 and 56265.

How to find the GCF of 56254 and 56265?

We will first find the prime factorization of 56254 and 56265. After we will calculate the factors of 56254 and 56265 and find the biggest common factor number .

Step-1: Prime Factorization of 56254

Prime factors of 56254 are 2, 11, 2557. Prime factorization of 56254 in exponential form is:

56254 = 2¹ × 11¹ × 2557¹

Step-2: 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-3: Factors of 56254

List of positive integer factors of 56254 that divides 56254 without a remainder.

1, 2, 11, 22, 2557, 5114, 28127

Step-4: Factors of 56265

List of positive integer factors of 56265 that divides 56254 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56254 and 56265. The biggest common factor number is the GCF number.
So the greatest common factor 56254 and 56265 is 11.

Also check out the Least Common Multiple of 56254 and 56265