What is the Greatest Common Factor of 50292 and 50304?

Greatest common factor (GCF) of 50292 and 50304 is 12.

GCF(50292,50304) = 12

We will now calculate the prime factors of 50292 and 50304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50292 and 50304.

How to find the GCF of 50292 and 50304?

We will first find the prime factorization of 50292 and 50304. After we will calculate the factors of 50292 and 50304 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50304

Prime factors of 50304 are 2, 3, 131. Prime factorization of 50304 in exponential form is:

50304 = 2⁷ × 3¹ × 131¹

Step-3: Factors of 50292

List of positive integer factors of 50292 that divides 50292 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

Step-4: Factors of 50304

List of positive integer factors of 50304 that divides 50292 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 131, 192, 262, 384, 393, 524, 786, 1048, 1572, 2096, 3144, 4192, 6288, 8384, 12576, 16768, 25152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50292 and 50304. The biggest common factor number is the GCF number.
So the greatest common factor 50292 and 50304 is 12.

Also check out the Least Common Multiple of 50292 and 50304