What is the Greatest Common Factor of 62345 and 62350?

Greatest common factor (GCF) of 62345 and 62350 is 5.

GCF(62345,62350) = 5

We will now calculate the prime factors of 62345 and 62350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62345 and 62350.

How to find the GCF of 62345 and 62350?

We will first find the prime factorization of 62345 and 62350. After we will calculate the factors of 62345 and 62350 and find the biggest common factor number .

Step-1: Prime Factorization of 62345

Prime factors of 62345 are 5, 37, 337. Prime factorization of 62345 in exponential form is:

62345 = 5¹ × 37¹ × 337¹

Step-2: Prime Factorization of 62350

Prime factors of 62350 are 2, 5, 29, 43. Prime factorization of 62350 in exponential form is:

62350 = 2¹ × 5² × 29¹ × 43¹

Step-3: Factors of 62345

List of positive integer factors of 62345 that divides 62345 without a remainder.

1, 5, 37, 185, 337, 1685, 12469

Step-4: Factors of 62350

List of positive integer factors of 62350 that divides 62345 without a remainder.

1, 2, 5, 10, 25, 29, 43, 50, 58, 86, 145, 215, 290, 430, 725, 1075, 1247, 1450, 2150, 2494, 6235, 12470, 31175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62345 and 62350. The biggest common factor number is the GCF number.
So the greatest common factor 62345 and 62350 is 5.

Also check out the Least Common Multiple of 62345 and 62350