What is the Greatest Common Factor of 56730 and 56745?

Greatest common factor (GCF) of 56730 and 56745 is 15.

GCF(56730,56745) = 15

We will now calculate the prime factors of 56730 and 56745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56730 and 56745.

How to find the GCF of 56730 and 56745?

We will first find the prime factorization of 56730 and 56745. After we will calculate the factors of 56730 and 56745 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56745

Prime factors of 56745 are 3, 5, 13, 97. Prime factorization of 56745 in exponential form is:

56745 = 3² × 5¹ × 13¹ × 97¹

Step-3: Factors of 56730

List of positive integer factors of 56730 that divides 56730 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

Step-4: Factors of 56745

List of positive integer factors of 56745 that divides 56730 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 97, 117, 195, 291, 485, 585, 873, 1261, 1455, 3783, 4365, 6305, 11349, 18915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56730 and 56745. The biggest common factor number is the GCF number.
So the greatest common factor 56730 and 56745 is 15.

Also check out the Least Common Multiple of 56730 and 56745