What is the Greatest Common Factor of 20304 and 20324?
Greatest common factor (GCF) of 20304 and 20324 is 4.
GCF(20304,20324) = 4
We will now calculate the prime factors of 20304 and 20324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20304 and 20324.
How to find the GCF of 20304 and 20324?
We will first find the prime factorization of 20304 and 20324. After we will calculate the factors of 20304 and 20324 and find the biggest common factor number .
Step-1: Prime Factorization of 20304
Prime factors of 20304 are 2, 3, 47. Prime factorization of 20304 in exponential form is:
20304 = 24 × 33 × 471
Step-2: Prime Factorization of 20324
Prime factors of 20324 are 2, 5081. Prime factorization of 20324 in exponential form is:
20324 = 22 × 50811
Step-3: Factors of 20304
List of positive integer factors of 20304 that divides 20304 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 47, 48, 54, 72, 94, 108, 141, 144, 188, 216, 282, 376, 423, 432, 564, 752, 846, 1128, 1269, 1692, 2256, 2538, 3384, 5076, 6768, 10152
Step-4: Factors of 20324
List of positive integer factors of 20324 that divides 20304 without a remainder.
1, 2, 4, 5081, 10162
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 20304 and 20324. The biggest common factor number is the GCF number.
So the greatest common factor 20304 and 20324 is 4.
Also check out the Least Common Multiple of 20304 and 20324
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