What is the Greatest Common Factor of 56730 and 56736?

Greatest common factor (GCF) of 56730 and 56736 is 6.

GCF(56730,56736) = 6

We will now calculate the prime factors of 56730 and 56736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56730 and 56736.

How to find the GCF of 56730 and 56736?

We will first find the prime factorization of 56730 and 56736. After we will calculate the factors of 56730 and 56736 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 56736

Prime factors of 56736 are 2, 3, 197. Prime factorization of 56736 in exponential form is:

56736 = 2⁵ × 3² × 197¹

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 56736

List of positive integer factors of 56736 that divides 56730 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 197, 288, 394, 591, 788, 1182, 1576, 1773, 2364, 3152, 3546, 4728, 6304, 7092, 9456, 14184, 18912, 28368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56730 and 56736. The biggest common factor number is the GCF number.
So the greatest common factor 56730 and 56736 is 6.

Also check out the Least Common Multiple of 56730 and 56736