What is the Greatest Common Factor of 50844 and 50852?

Greatest common factor (GCF) of 50844 and 50852 is 4.

GCF(50844,50852) = 4

We will now calculate the prime factors of 50844 and 50852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50844 and 50852.

How to find the GCF of 50844 and 50852?

We will first find the prime factorization of 50844 and 50852. After we will calculate the factors of 50844 and 50852 and find the biggest common factor number .

Step-1: Prime Factorization of 50844

Prime factors of 50844 are 2, 3, 19, 223. Prime factorization of 50844 in exponential form is:

50844 = 2² × 3¹ × 19¹ × 223¹

Step-2: Prime Factorization of 50852

Prime factors of 50852 are 2, 12713. Prime factorization of 50852 in exponential form is:

50852 = 2² × 12713¹

Step-3: Factors of 50844

List of positive integer factors of 50844 that divides 50844 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 223, 228, 446, 669, 892, 1338, 2676, 4237, 8474, 12711, 16948, 25422

Step-4: Factors of 50852

List of positive integer factors of 50852 that divides 50844 without a remainder.

1, 2, 4, 12713, 25426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50844 and 50852. The biggest common factor number is the GCF number.
So the greatest common factor 50844 and 50852 is 4.

Also check out the Least Common Multiple of 50844 and 50852