What is the Greatest Common Factor of 56250 and 56265?

Greatest common factor (GCF) of 56250 and 56265 is 15.

GCF(56250,56265) = 15

We will now calculate the prime factors of 56250 and 56265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56250 and 56265.

How to find the GCF of 56250 and 56265?

We will first find the prime factorization of 56250 and 56265. After we will calculate the factors of 56250 and 56265 and find the biggest common factor number .

Step-1: Prime Factorization of 56250

Prime factors of 56250 are 2, 3, 5. Prime factorization of 56250 in exponential form is:

56250 = 2¹ × 3² × 5⁵

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 56250

List of positive integer factors of 56250 that divides 56250 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 625, 750, 1125, 1250, 1875, 2250, 3125, 3750, 5625, 6250, 9375, 11250, 18750, 28125

Step-4: Factors of 56265

List of positive integer factors of 56265 that divides 56250 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 56250 and 56265. The biggest common factor number is the GCF number.
So the greatest common factor 56250 and 56265 is 15.

Also check out the Least Common Multiple of 56250 and 56265