What is the Greatest Common Factor of 50288 and 50292?

Greatest common factor (GCF) of 50288 and 50292 is 4.

GCF(50288,50292) = 4

We will now calculate the prime factors of 50288 and 50292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50288 and 50292.

How to find the GCF of 50288 and 50292?

We will first find the prime factorization of 50288 and 50292. After we will calculate the factors of 50288 and 50292 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50292

Prime factors of 50292 are 2, 3, 11, 127. Prime factorization of 50292 in exponential form is:

50292 = 2² × 3² × 11¹ × 127¹

Step-3: Factors of 50288

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

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

Step-4: Factors of 50292

List of positive integer factors of 50292 that divides 50288 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 127, 132, 198, 254, 381, 396, 508, 762, 1143, 1397, 1524, 2286, 2794, 4191, 4572, 5588, 8382, 12573, 16764, 25146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50288 and 50292. The biggest common factor number is the GCF number.
So the greatest common factor 50288 and 50292 is 4.

Also check out the Least Common Multiple of 50288 and 50292