What is the Greatest Common Factor of 50365 and 50370?

Greatest common factor (GCF) of 50365 and 50370 is 5.

GCF(50365,50370) = 5

We will now calculate the prime factors of 50365 and 50370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50365 and 50370.

How to find the GCF of 50365 and 50370?

We will first find the prime factorization of 50365 and 50370. After we will calculate the factors of 50365 and 50370 and find the biggest common factor number .

Step-1: Prime Factorization of 50365

Prime factors of 50365 are 5, 7, 1439. Prime factorization of 50365 in exponential form is:

50365 = 5¹ × 7¹ × 1439¹

Step-2: Prime Factorization of 50370

Prime factors of 50370 are 2, 3, 5, 23, 73. Prime factorization of 50370 in exponential form is:

50370 = 2¹ × 3¹ × 5¹ × 23¹ × 73¹

Step-3: Factors of 50365

List of positive integer factors of 50365 that divides 50365 without a remainder.

1, 5, 7, 35, 1439, 7195, 10073

Step-4: Factors of 50370

List of positive integer factors of 50370 that divides 50365 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 73, 115, 138, 146, 219, 230, 345, 365, 438, 690, 730, 1095, 1679, 2190, 3358, 5037, 8395, 10074, 16790, 25185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50365 and 50370. The biggest common factor number is the GCF number.
So the greatest common factor 50365 and 50370 is 5.

Also check out the Least Common Multiple of 50365 and 50370