What is the Greatest Common Factor of 59345 and 59350?

Greatest common factor (GCF) of 59345 and 59350 is 5.

GCF(59345,59350) = 5

We will now calculate the prime factors of 59345 and 59350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59345 and 59350.

How to find the GCF of 59345 and 59350?

We will first find the prime factorization of 59345 and 59350. After we will calculate the factors of 59345 and 59350 and find the biggest common factor number .

Step-1: Prime Factorization of 59345

Prime factors of 59345 are 5, 11, 13, 83. Prime factorization of 59345 in exponential form is:

59345 = 5¹ × 11¹ × 13¹ × 83¹

Step-2: Prime Factorization of 59350

Prime factors of 59350 are 2, 5, 1187. Prime factorization of 59350 in exponential form is:

59350 = 2¹ × 5² × 1187¹

Step-3: Factors of 59345

List of positive integer factors of 59345 that divides 59345 without a remainder.

1, 5, 11, 13, 55, 65, 83, 143, 415, 715, 913, 1079, 4565, 5395, 11869

Step-4: Factors of 59350

List of positive integer factors of 59350 that divides 59345 without a remainder.

1, 2, 5, 10, 25, 50, 1187, 2374, 5935, 11870, 29675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59345 and 59350. The biggest common factor number is the GCF number.
So the greatest common factor 59345 and 59350 is 5.

Also check out the Least Common Multiple of 59345 and 59350