What is the Greatest Common Factor of 56295 and 56304?

Greatest common factor (GCF) of 56295 and 56304 is 9.

GCF(56295,56304) = 9

We will now calculate the prime factors of 56295 and 56304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56295 and 56304.

How to find the GCF of 56295 and 56304?

We will first find the prime factorization of 56295 and 56304. After we will calculate the factors of 56295 and 56304 and find the biggest common factor number .

Step-1: Prime Factorization of 56295

Prime factors of 56295 are 3, 5, 139. Prime factorization of 56295 in exponential form is:

56295 = 3⁴ × 5¹ × 139¹

Step-2: Prime Factorization of 56304

Prime factors of 56304 are 2, 3, 17, 23. Prime factorization of 56304 in exponential form is:

56304 = 2⁴ × 3² × 17¹ × 23¹

Step-3: Factors of 56295

List of positive integer factors of 56295 that divides 56295 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 139, 405, 417, 695, 1251, 2085, 3753, 6255, 11259, 18765

Step-4: Factors of 56304

List of positive integer factors of 56304 that divides 56295 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 23, 24, 34, 36, 46, 48, 51, 68, 69, 72, 92, 102, 136, 138, 144, 153, 184, 204, 207, 272, 276, 306, 368, 391, 408, 414, 552, 612, 782, 816, 828, 1104, 1173, 1224, 1564, 1656, 2346, 2448, 3128, 3312, 3519, 4692, 6256, 7038, 9384, 14076, 18768, 28152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56295 and 56304. The biggest common factor number is the GCF number.
So the greatest common factor 56295 and 56304 is 9.

Also check out the Least Common Multiple of 56295 and 56304