What is the Greatest Common Factor of 50508 and 50514?

Greatest common factor (GCF) of 50508 and 50514 is 6.

GCF(50508,50514) = 6

We will now calculate the prime factors of 50508 and 50514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50508 and 50514.

How to find the GCF of 50508 and 50514?

We will first find the prime factorization of 50508 and 50514. After we will calculate the factors of 50508 and 50514 and find the biggest common factor number .

Step-1: Prime Factorization of 50508

Prime factors of 50508 are 2, 3, 23, 61. Prime factorization of 50508 in exponential form is:

50508 = 2² × 3² × 23¹ × 61¹

Step-2: Prime Factorization of 50514

Prime factors of 50514 are 2, 3, 8419. Prime factorization of 50514 in exponential form is:

50514 = 2¹ × 3¹ × 8419¹

Step-3: Factors of 50508

List of positive integer factors of 50508 that divides 50508 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 61, 69, 92, 122, 138, 183, 207, 244, 276, 366, 414, 549, 732, 828, 1098, 1403, 2196, 2806, 4209, 5612, 8418, 12627, 16836, 25254

Step-4: Factors of 50514

List of positive integer factors of 50514 that divides 50508 without a remainder.

1, 2, 3, 6, 8419, 16838, 25257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50508 and 50514. The biggest common factor number is the GCF number.
So the greatest common factor 50508 and 50514 is 6.

Also check out the Least Common Multiple of 50508 and 50514