What is the Greatest Common Factor of 20332 and 20336?
Greatest common factor (GCF) of 20332 and 20336 is 4.
GCF(20332,20336) = 4
We will now calculate the prime factors of 20332 and 20336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20332 and 20336.
How to find the GCF of 20332 and 20336?
We will first find the prime factorization of 20332 and 20336. After we will calculate the factors of 20332 and 20336 and find the biggest common factor number .
Step-1: Prime Factorization of 20332
Prime factors of 20332 are 2, 13, 17, 23. Prime factorization of 20332 in exponential form is:
20332 = 22 × 131 × 171 × 231
Step-2: Prime Factorization of 20336
Prime factors of 20336 are 2, 31, 41. Prime factorization of 20336 in exponential form is:
20336 = 24 × 311 × 411
Step-3: Factors of 20332
List of positive integer factors of 20332 that divides 20332 without a remainder.
1, 2, 4, 13, 17, 23, 26, 34, 46, 52, 68, 92, 221, 299, 391, 442, 598, 782, 884, 1196, 1564, 5083, 10166
Step-4: Factors of 20336
List of positive integer factors of 20336 that divides 20332 without a remainder.
1, 2, 4, 8, 16, 31, 41, 62, 82, 124, 164, 248, 328, 496, 656, 1271, 2542, 5084, 10168
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 20332 and 20336. The biggest common factor number is the GCF number.
So the greatest common factor 20332 and 20336 is 4.
Also check out the Least Common Multiple of 20332 and 20336
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