What is the Greatest Common Factor of 50280 and 50288?

Greatest common factor (GCF) of 50280 and 50288 is 8.

GCF(50280,50288) = 8

We will now calculate the prime factors of 50280 and 50288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50280 and 50288.

How to find the GCF of 50280 and 50288?

We will first find the prime factorization of 50280 and 50288. After we will calculate the factors of 50280 and 50288 and find the biggest common factor number .

Step-1: Prime Factorization of 50280

Prime factors of 50280 are 2, 3, 5, 419. Prime factorization of 50280 in exponential form is:

50280 = 2³ × 3¹ × 5¹ × 419¹

Step-2: Prime Factorization of 50288

Prime factors of 50288 are 2, 7, 449. Prime factorization of 50288 in exponential form is:

50288 = 2⁴ × 7¹ × 449¹

Step-3: Factors of 50280

List of positive integer factors of 50280 that divides 50280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 419, 838, 1257, 1676, 2095, 2514, 3352, 4190, 5028, 6285, 8380, 10056, 12570, 16760, 25140

Step-4: Factors of 50288

List of positive integer factors of 50288 that divides 50280 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 449, 898, 1796, 3143, 3592, 6286, 7184, 12572, 25144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50280 and 50288. The biggest common factor number is the GCF number.
So the greatest common factor 50280 and 50288 is 8.

Also check out the Least Common Multiple of 50280 and 50288