What is the Greatest Common Factor of 50322 and 50337?

Greatest common factor (GCF) of 50322 and 50337 is 3.

GCF(50322,50337) = 3

We will now calculate the prime factors of 50322 and 50337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50322 and 50337.

How to find the GCF of 50322 and 50337?

We will first find the prime factorization of 50322 and 50337. After we will calculate the factors of 50322 and 50337 and find the biggest common factor number .

Step-1: Prime Factorization of 50322

Prime factors of 50322 are 2, 3, 8387. Prime factorization of 50322 in exponential form is:

50322 = 2¹ × 3¹ × 8387¹

Step-2: Prime Factorization of 50337

Prime factors of 50337 are 3, 7, 17, 47. Prime factorization of 50337 in exponential form is:

50337 = 3² × 7¹ × 17¹ × 47¹

Step-3: Factors of 50322

List of positive integer factors of 50322 that divides 50322 without a remainder.

1, 2, 3, 6, 8387, 16774, 25161

Step-4: Factors of 50337

List of positive integer factors of 50337 that divides 50322 without a remainder.

1, 3, 7, 9, 17, 21, 47, 51, 63, 119, 141, 153, 329, 357, 423, 799, 987, 1071, 2397, 2961, 5593, 7191, 16779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50322 and 50337. The biggest common factor number is the GCF number.
So the greatest common factor 50322 and 50337 is 3.

Also check out the Least Common Multiple of 50322 and 50337