What is the Greatest Common Factor of 56235 and 56241?

Greatest common factor (GCF) of 56235 and 56241 is 3.

GCF(56235,56241) = 3

We will now calculate the prime factors of 56235 and 56241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56235 and 56241.

How to find the GCF of 56235 and 56241?

We will first find the prime factorization of 56235 and 56241. After we will calculate the factors of 56235 and 56241 and find the biggest common factor number .

Step-1: Prime Factorization of 56235

Prime factors of 56235 are 3, 5, 23, 163. Prime factorization of 56235 in exponential form is:

56235 = 3¹ × 5¹ × 23¹ × 163¹

Step-2: Prime Factorization of 56241

Prime factors of 56241 are 3, 2083. Prime factorization of 56241 in exponential form is:

56241 = 3³ × 2083¹

Step-3: Factors of 56235

List of positive integer factors of 56235 that divides 56235 without a remainder.

1, 3, 5, 15, 23, 69, 115, 163, 345, 489, 815, 2445, 3749, 11247, 18745

Step-4: Factors of 56241

List of positive integer factors of 56241 that divides 56235 without a remainder.

1, 3, 9, 27, 2083, 6249, 18747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56235 and 56241. The biggest common factor number is the GCF number.
So the greatest common factor 56235 and 56241 is 3.

Also check out the Least Common Multiple of 56235 and 56241