What is the Greatest Common Factor of 50358 and 50365?

Greatest common factor (GCF) of 50358 and 50365 is 7.

GCF(50358,50365) = 7

We will now calculate the prime factors of 50358 and 50365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50358 and 50365.

How to find the GCF of 50358 and 50365?

We will first find the prime factorization of 50358 and 50365. After we will calculate the factors of 50358 and 50365 and find the biggest common factor number .

Step-1: Prime Factorization of 50358

Prime factors of 50358 are 2, 3, 7, 11, 109. Prime factorization of 50358 in exponential form is:

50358 = 2¹ × 3¹ × 7¹ × 11¹ × 109¹

Step-2: 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-3: Factors of 50358

List of positive integer factors of 50358 that divides 50358 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 109, 154, 218, 231, 327, 462, 654, 763, 1199, 1526, 2289, 2398, 3597, 4578, 7194, 8393, 16786, 25179

Step-4: Factors of 50365

List of positive integer factors of 50365 that divides 50358 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50358 and 50365. The biggest common factor number is the GCF number.
So the greatest common factor 50358 and 50365 is 7.

Also check out the Least Common Multiple of 50358 and 50365