What is the Greatest Common Factor of 50876 and 50883?

Greatest common factor (GCF) of 50876 and 50883 is 7.

GCF(50876,50883) = 7

We will now calculate the prime factors of 50876 and 50883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50876 and 50883.

How to find the GCF of 50876 and 50883?

We will first find the prime factorization of 50876 and 50883. After we will calculate the factors of 50876 and 50883 and find the biggest common factor number .

Step-1: Prime Factorization of 50876

Prime factors of 50876 are 2, 7, 23, 79. Prime factorization of 50876 in exponential form is:

50876 = 2² × 7¹ × 23¹ × 79¹

Step-2: Prime Factorization of 50883

Prime factors of 50883 are 3, 7, 2423. Prime factorization of 50883 in exponential form is:

50883 = 3¹ × 7¹ × 2423¹

Step-3: Factors of 50876

List of positive integer factors of 50876 that divides 50876 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 79, 92, 158, 161, 316, 322, 553, 644, 1106, 1817, 2212, 3634, 7268, 12719, 25438

Step-4: Factors of 50883

List of positive integer factors of 50883 that divides 50876 without a remainder.

1, 3, 7, 21, 2423, 7269, 16961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50876 and 50883. The biggest common factor number is the GCF number.
So the greatest common factor 50876 and 50883 is 7.

Also check out the Least Common Multiple of 50876 and 50883