What is the Greatest Common Factor of 50224 and 50228?

Greatest common factor (GCF) of 50224 and 50228 is 4.

GCF(50224,50228) = 4

We will now calculate the prime factors of 50224 and 50228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50224 and 50228.

How to find the GCF of 50224 and 50228?

We will first find the prime factorization of 50224 and 50228. After we will calculate the factors of 50224 and 50228 and find the biggest common factor number .

Step-1: Prime Factorization of 50224

Prime factors of 50224 are 2, 43, 73. Prime factorization of 50224 in exponential form is:

50224 = 2⁴ × 43¹ × 73¹

Step-2: Prime Factorization of 50228

Prime factors of 50228 are 2, 29, 433. Prime factorization of 50228 in exponential form is:

50228 = 2² × 29¹ × 433¹

Step-3: Factors of 50224

List of positive integer factors of 50224 that divides 50224 without a remainder.

1, 2, 4, 8, 16, 43, 73, 86, 146, 172, 292, 344, 584, 688, 1168, 3139, 6278, 12556, 25112

Step-4: Factors of 50228

List of positive integer factors of 50228 that divides 50224 without a remainder.

1, 2, 4, 29, 58, 116, 433, 866, 1732, 12557, 25114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50224 and 50228. The biggest common factor number is the GCF number.
So the greatest common factor 50224 and 50228 is 4.

Also check out the Least Common Multiple of 50224 and 50228