What is the Greatest Common Factor of 56345 and 56350?

Greatest common factor (GCF) of 56345 and 56350 is 5.

GCF(56345,56350) = 5

We will now calculate the prime factors of 56345 and 56350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56345 and 56350.

How to find the GCF of 56345 and 56350?

We will first find the prime factorization of 56345 and 56350. After we will calculate the factors of 56345 and 56350 and find the biggest common factor number .

Step-1: Prime Factorization of 56345

Prime factors of 56345 are 5, 59, 191. Prime factorization of 56345 in exponential form is:

56345 = 5¹ × 59¹ × 191¹

Step-2: Prime Factorization of 56350

Prime factors of 56350 are 2, 5, 7, 23. Prime factorization of 56350 in exponential form is:

56350 = 2¹ × 5² × 7² × 23¹

Step-3: Factors of 56345

List of positive integer factors of 56345 that divides 56345 without a remainder.

1, 5, 59, 191, 295, 955, 11269

Step-4: Factors of 56350

List of positive integer factors of 56350 that divides 56345 without a remainder.

1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 49, 50, 70, 98, 115, 161, 175, 230, 245, 322, 350, 490, 575, 805, 1127, 1150, 1225, 1610, 2254, 2450, 4025, 5635, 8050, 11270, 28175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56345 and 56350. The biggest common factor number is the GCF number.
So the greatest common factor 56345 and 56350 is 5.

Also check out the Least Common Multiple of 56345 and 56350