What is the Greatest Common Factor of 20232 and 20244?

Greatest common factor (GCF) of 20232 and 20244 is 12.

GCF(20232,20244) = 12

We will now calculate the prime factors of 20232 and 20244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20232 and 20244.

How to find the GCF of 20232 and 20244?

We will first find the prime factorization of 20232 and 20244. After we will calculate the factors of 20232 and 20244 and find the biggest common factor number .

Step-1: Prime Factorization of 20232

Prime factors of 20232 are 2, 3, 281. Prime factorization of 20232 in exponential form is:

20232 = 2³ × 3² × 281¹

Step-2: Prime Factorization of 20244

Prime factors of 20244 are 2, 3, 7, 241. Prime factorization of 20244 in exponential form is:

20244 = 2² × 3¹ × 7¹ × 241¹

Step-3: Factors of 20232

List of positive integer factors of 20232 that divides 20232 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 281, 562, 843, 1124, 1686, 2248, 2529, 3372, 5058, 6744, 10116

Step-4: Factors of 20244

List of positive integer factors of 20244 that divides 20232 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 241, 482, 723, 964, 1446, 1687, 2892, 3374, 5061, 6748, 10122

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20232 and 20244. The biggest common factor number is the GCF number.
So the greatest common factor 20232 and 20244 is 12.

Also check out the Least Common Multiple of 20232 and 20244