What is the Greatest Common Factor of 50192 and 50208?

Greatest common factor (GCF) of 50192 and 50208 is 16.

GCF(50192,50208) = 16

We will now calculate the prime factors of 50192 and 50208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50192 and 50208.

How to find the GCF of 50192 and 50208?

We will first find the prime factorization of 50192 and 50208. After we will calculate the factors of 50192 and 50208 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 50208

Prime factors of 50208 are 2, 3, 523. Prime factorization of 50208 in exponential form is:

50208 = 2⁵ × 3¹ × 523¹

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 50208

List of positive integer factors of 50208 that divides 50192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 523, 1046, 1569, 2092, 3138, 4184, 6276, 8368, 12552, 16736, 25104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50192 and 50208. The biggest common factor number is the GCF number.
So the greatest common factor 50192 and 50208 is 16.

Also check out the Least Common Multiple of 50192 and 50208