What is the Greatest Common Factor of 50064 and 50071?

Greatest common factor (GCF) of 50064 and 50071 is 7.

GCF(50064,50071) = 7

We will now calculate the prime factors of 50064 and 50071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50064 and 50071.

How to find the GCF of 50064 and 50071?

We will first find the prime factorization of 50064 and 50071. After we will calculate the factors of 50064 and 50071 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 50071

Prime factors of 50071 are 7, 23, 311. Prime factorization of 50071 in exponential form is:

50071 = 7¹ × 23¹ × 311¹

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 50071

List of positive integer factors of 50071 that divides 50064 without a remainder.

1, 7, 23, 161, 311, 2177, 7153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50064 and 50071. The biggest common factor number is the GCF number.
So the greatest common factor 50064 and 50071 is 7.

Also check out the Least Common Multiple of 50064 and 50071