What is the Greatest Common Factor of 56725 and 56730?

Greatest common factor (GCF) of 56725 and 56730 is 5.

GCF(56725,56730) = 5

We will now calculate the prime factors of 56725 and 56730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56725 and 56730.

How to find the GCF of 56725 and 56730?

We will first find the prime factorization of 56725 and 56730. After we will calculate the factors of 56725 and 56730 and find the biggest common factor number .

Step-1: Prime Factorization of 56725

Prime factors of 56725 are 5, 2269. Prime factorization of 56725 in exponential form is:

56725 = 5² × 2269¹

Step-2: Prime Factorization of 56730

Prime factors of 56730 are 2, 3, 5, 31, 61. Prime factorization of 56730 in exponential form is:

56730 = 2¹ × 3¹ × 5¹ × 31¹ × 61¹

Step-3: Factors of 56725

List of positive integer factors of 56725 that divides 56725 without a remainder.

1, 5, 25, 2269, 11345

Step-4: Factors of 56730

List of positive integer factors of 56730 that divides 56725 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 61, 62, 93, 122, 155, 183, 186, 305, 310, 366, 465, 610, 915, 930, 1830, 1891, 3782, 5673, 9455, 11346, 18910, 28365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56725 and 56730. The biggest common factor number is the GCF number.
So the greatest common factor 56725 and 56730 is 5.

Also check out the Least Common Multiple of 56725 and 56730