What is the Greatest Common Factor of 50192 and 50202?

Greatest common factor (GCF) of 50192 and 50202 is 2.

GCF(50192,50202) = 2

We will now calculate the prime factors of 50192 and 50202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50192 and 50202.

How to find the GCF of 50192 and 50202?

We will first find the prime factorization of 50192 and 50202. After we will calculate the factors of 50192 and 50202 and find the biggest common factor number .

Step-1: Prime Factorization of 50192

Prime factors of 50192 are 2, 3137. Prime factorization of 50192 in exponential form is:

50192 = 2⁴ × 3137¹

Step-2: Prime Factorization of 50202

Prime factors of 50202 are 2, 3, 2789. Prime factorization of 50202 in exponential form is:

50202 = 2¹ × 3² × 2789¹

Step-3: Factors of 50192

List of positive integer factors of 50192 that divides 50192 without a remainder.

1, 2, 4, 8, 16, 3137, 6274, 12548, 25096

Step-4: Factors of 50202

List of positive integer factors of 50202 that divides 50192 without a remainder.

1, 2, 3, 6, 9, 18, 2789, 5578, 8367, 16734, 25101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50192 and 50202. The biggest common factor number is the GCF number.
So the greatest common factor 50192 and 50202 is 2.

Also check out the Least Common Multiple of 50192 and 50202