What is the Greatest Common Factor of 50090 and 50094?

Greatest common factor (GCF) of 50090 and 50094 is 2.

GCF(50090,50094) = 2

We will now calculate the prime factors of 50090 and 50094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50090 and 50094.

How to find the GCF of 50090 and 50094?

We will first find the prime factorization of 50090 and 50094. After we will calculate the factors of 50090 and 50094 and find the biggest common factor number .

Step-1: Prime Factorization of 50090

Prime factors of 50090 are 2, 5, 5009. Prime factorization of 50090 in exponential form is:

50090 = 2¹ × 5¹ × 5009¹

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 50090

List of positive integer factors of 50090 that divides 50090 without a remainder.

1, 2, 5, 10, 5009, 10018, 25045

Step-4: Factors of 50094

List of positive integer factors of 50094 that divides 50090 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 50090 and 50094. The biggest common factor number is the GCF number.
So the greatest common factor 50090 and 50094 is 2.

Also check out the Least Common Multiple of 50090 and 50094