What is the Greatest Common Factor of 50085 and 50094?

Greatest common factor (GCF) of 50085 and 50094 is 9.

GCF(50085,50094) = 9

We will now calculate the prime factors of 50085 and 50094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50085 and 50094.

How to find the GCF of 50085 and 50094?

We will first find the prime factorization of 50085 and 50094. After we will calculate the factors of 50085 and 50094 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 50094

Prime factors of 50094 are 2, 3, 11, 23. Prime factorization of 50094 in exponential form is:

50094 = 2¹ × 3² × 11² × 23¹

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 50094

List of positive integer factors of 50094 that divides 50085 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 121, 138, 198, 207, 242, 253, 363, 414, 506, 726, 759, 1089, 1518, 2178, 2277, 2783, 4554, 5566, 8349, 16698, 25047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50085 and 50094. The biggest common factor number is the GCF number.
So the greatest common factor 50085 and 50094 is 9.

Also check out the Least Common Multiple of 50085 and 50094