What is the Greatest Common Factor of 50064 and 50083?

Greatest common factor (GCF) of 50064 and 50083 is 1.

GCF(50064,50083) = 1

We will now calculate the prime factors of 50064 and 50083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50064 and 50083.

How to find the GCF of 50064 and 50083?

We will first find the prime factorization of 50064 and 50083. After we will calculate the factors of 50064 and 50083 and find the biggest common factor number .

Step-1: Prime Factorization of 50064

Prime factors of 50064 are 2, 3, 7, 149. Prime factorization of 50064 in exponential form is:

50064 = 2⁴ × 3¹ × 7¹ × 149¹

Step-2: Prime Factorization of 50083

Prime factors of 50083 are 11, 29, 157. Prime factorization of 50083 in exponential form is:

50083 = 11¹ × 29¹ × 157¹

Step-3: Factors of 50064

List of positive integer factors of 50064 that divides 50064 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 149, 168, 298, 336, 447, 596, 894, 1043, 1192, 1788, 2086, 2384, 3129, 3576, 4172, 6258, 7152, 8344, 12516, 16688, 25032

Step-4: Factors of 50083

List of positive integer factors of 50083 that divides 50064 without a remainder.

1, 11, 29, 157, 319, 1727, 4553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50064 and 50083. The biggest common factor number is the GCF number.
So the greatest common factor 50064 and 50083 is 1.

Also check out the Least Common Multiple of 50064 and 50083