What is the Greatest Common Factor of 50085 and 50103?

Greatest common factor (GCF) of 50085 and 50103 is 9.

GCF(50085,50103) = 9

We will now calculate the prime factors of 50085 and 50103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50085 and 50103.

How to find the GCF of 50085 and 50103?

We will first find the prime factorization of 50085 and 50103. After we will calculate the factors of 50085 and 50103 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50103

Prime factors of 50103 are 3, 19, 293. Prime factorization of 50103 in exponential form is:

50103 = 3² × 19¹ × 293¹

Step-3: Factors of 50085

List of positive integer factors of 50085 that divides 50085 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

Step-4: Factors of 50103

List of positive integer factors of 50103 that divides 50085 without a remainder.

1, 3, 9, 19, 57, 171, 293, 879, 2637, 5567, 16701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50085 and 50103. The biggest common factor number is the GCF number.
So the greatest common factor 50085 and 50103 is 9.

Also check out the Least Common Multiple of 50085 and 50103