What is the Greatest Common Factor of 50079 and 50085?

Greatest common factor (GCF) of 50079 and 50085 is 3.

GCF(50079,50085) = 3

We will now calculate the prime factors of 50079 and 50085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50079 and 50085.

How to find the GCF of 50079 and 50085?

We will first find the prime factorization of 50079 and 50085. After we will calculate the factors of 50079 and 50085 and find the biggest common factor number .

Step-1: Prime Factorization of 50079

Prime factors of 50079 are 3, 16693. Prime factorization of 50079 in exponential form is:

50079 = 3¹ × 16693¹

Step-2: Prime Factorization of 50085

Prime factors of 50085 are 3, 5, 7, 53. Prime factorization of 50085 in exponential form is:

50085 = 3³ × 5¹ × 7¹ × 53¹

Step-3: Factors of 50079

List of positive integer factors of 50079 that divides 50079 without a remainder.

1, 3, 16693

Step-4: Factors of 50085

List of positive integer factors of 50085 that divides 50079 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 53, 63, 105, 135, 159, 189, 265, 315, 371, 477, 795, 945, 1113, 1431, 1855, 2385, 3339, 5565, 7155, 10017, 16695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50079 and 50085. The biggest common factor number is the GCF number.
So the greatest common factor 50079 and 50085 is 3.

Also check out the Least Common Multiple of 50079 and 50085