What is the Greatest Common Factor of 50094 and 50109?

Greatest common factor (GCF) of 50094 and 50109 is 3.

GCF(50094,50109) = 3

We will now calculate the prime factors of 50094 and 50109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50094 and 50109.

How to find the GCF of 50094 and 50109?

We will first find the prime factorization of 50094 and 50109. After we will calculate the factors of 50094 and 50109 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50109

Prime factors of 50109 are 3, 16703. Prime factorization of 50109 in exponential form is:

50109 = 3¹ × 16703¹

Step-3: Factors of 50094

List of positive integer factors of 50094 that divides 50094 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

Step-4: Factors of 50109

List of positive integer factors of 50109 that divides 50094 without a remainder.

1, 3, 16703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50094 and 50109. The biggest common factor number is the GCF number.
So the greatest common factor 50094 and 50109 is 3.

Also check out the Least Common Multiple of 50094 and 50109