What is the Greatest Common Factor of 62350 and 62365?

Greatest common factor (GCF) of 62350 and 62365 is 5.

GCF(62350,62365) = 5

We will now calculate the prime factors of 62350 and 62365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62350 and 62365.

How to find the GCF of 62350 and 62365?

We will first find the prime factorization of 62350 and 62365. After we will calculate the factors of 62350 and 62365 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62365

Prime factors of 62365 are 5, 12473. Prime factorization of 62365 in exponential form is:

62365 = 5¹ × 12473¹

Step-3: Factors of 62350

List of positive integer factors of 62350 that divides 62350 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

Step-4: Factors of 62365

List of positive integer factors of 62365 that divides 62350 without a remainder.

1, 5, 12473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62350 and 62365. The biggest common factor number is the GCF number.
So the greatest common factor 62350 and 62365 is 5.

Also check out the Least Common Multiple of 62350 and 62365