What is the Greatest Common Factor of 56720 and 56730?

Greatest common factor (GCF) of 56720 and 56730 is 10.

GCF(56720,56730) = 10

We will now calculate the prime factors of 56720 and 56730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56720 and 56730.

How to find the GCF of 56720 and 56730?

We will first find the prime factorization of 56720 and 56730. After we will calculate the factors of 56720 and 56730 and find the biggest common factor number .

Step-1: Prime Factorization of 56720

Prime factors of 56720 are 2, 5, 709. Prime factorization of 56720 in exponential form is:

56720 = 2⁴ × 5¹ × 709¹

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 56720

List of positive integer factors of 56720 that divides 56720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 709, 1418, 2836, 3545, 5672, 7090, 11344, 14180, 28360

Step-4: Factors of 56730

List of positive integer factors of 56730 that divides 56720 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 56720 and 56730. The biggest common factor number is the GCF number.
So the greatest common factor 56720 and 56730 is 10.

Also check out the Least Common Multiple of 56720 and 56730