What is the Greatest Common Factor of 60350 and 60365?

Greatest common factor (GCF) of 60350 and 60365 is 5.

GCF(60350,60365) = 5

We will now calculate the prime factors of 60350 and 60365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60350 and 60365.

How to find the GCF of 60350 and 60365?

We will first find the prime factorization of 60350 and 60365. After we will calculate the factors of 60350 and 60365 and find the biggest common factor number .

Step-1: Prime Factorization of 60350

Prime factors of 60350 are 2, 5, 17, 71. Prime factorization of 60350 in exponential form is:

60350 = 2¹ × 5² × 17¹ × 71¹

Step-2: Prime Factorization of 60365

Prime factors of 60365 are 5, 12073. Prime factorization of 60365 in exponential form is:

60365 = 5¹ × 12073¹

Step-3: Factors of 60350

List of positive integer factors of 60350 that divides 60350 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 71, 85, 142, 170, 355, 425, 710, 850, 1207, 1775, 2414, 3550, 6035, 12070, 30175

Step-4: Factors of 60365

List of positive integer factors of 60365 that divides 60350 without a remainder.

1, 5, 12073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60350 and 60365. The biggest common factor number is the GCF number.
So the greatest common factor 60350 and 60365 is 5.

Also check out the Least Common Multiple of 60350 and 60365