What is the Greatest Common Factor of 50054 and 50070?

Greatest common factor (GCF) of 50054 and 50070 is 2.

GCF(50054,50070) = 2

We will now calculate the prime factors of 50054 and 50070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50054 and 50070.

How to find the GCF of 50054 and 50070?

We will first find the prime factorization of 50054 and 50070. After we will calculate the factors of 50054 and 50070 and find the biggest common factor number .

Step-1: Prime Factorization of 50054

Prime factors of 50054 are 2, 29, 863. Prime factorization of 50054 in exponential form is:

50054 = 2¹ × 29¹ × 863¹

Step-2: Prime Factorization of 50070

Prime factors of 50070 are 2, 3, 5, 1669. Prime factorization of 50070 in exponential form is:

50070 = 2¹ × 3¹ × 5¹ × 1669¹

Step-3: Factors of 50054

List of positive integer factors of 50054 that divides 50054 without a remainder.

1, 2, 29, 58, 863, 1726, 25027

Step-4: Factors of 50070

List of positive integer factors of 50070 that divides 50054 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1669, 3338, 5007, 8345, 10014, 16690, 25035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50054 and 50070. The biggest common factor number is the GCF number.
So the greatest common factor 50054 and 50070 is 2.

Also check out the Least Common Multiple of 50054 and 50070