What is the Greatest Common Factor of 56295 and 56301?

Greatest common factor (GCF) of 56295 and 56301 is 3.

GCF(56295,56301) = 3

We will now calculate the prime factors of 56295 and 56301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56295 and 56301.

How to find the GCF of 56295 and 56301?

We will first find the prime factorization of 56295 and 56301. After we will calculate the factors of 56295 and 56301 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 56301

Prime factors of 56301 are 3, 7, 383. Prime factorization of 56301 in exponential form is:

56301 = 3¹ × 7² × 383¹

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 56301

List of positive integer factors of 56301 that divides 56295 without a remainder.

1, 3, 7, 21, 49, 147, 383, 1149, 2681, 8043, 18767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56295 and 56301. The biggest common factor number is the GCF number.
So the greatest common factor 56295 and 56301 is 3.

Also check out the Least Common Multiple of 56295 and 56301