What is the Greatest Common Factor of 56225 and 56235?

Greatest common factor (GCF) of 56225 and 56235 is 5.

GCF(56225,56235) = 5

We will now calculate the prime factors of 56225 and 56235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56225 and 56235.

How to find the GCF of 56225 and 56235?

We will first find the prime factorization of 56225 and 56235. After we will calculate the factors of 56225 and 56235 and find the biggest common factor number .

Step-1: Prime Factorization of 56225

Prime factors of 56225 are 5, 13, 173. Prime factorization of 56225 in exponential form is:

56225 = 5² × 13¹ × 173¹

Step-2: 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-3: Factors of 56225

List of positive integer factors of 56225 that divides 56225 without a remainder.

1, 5, 13, 25, 65, 173, 325, 865, 2249, 4325, 11245

Step-4: Factors of 56235

List of positive integer factors of 56235 that divides 56225 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56225 and 56235. The biggest common factor number is the GCF number.
So the greatest common factor 56225 and 56235 is 5.

Also check out the Least Common Multiple of 56225 and 56235