What is the Greatest Common Factor of 18396 and 18402?
Greatest common factor (GCF) of 18396 and 18402 is 6.
GCF(18396,18402) = 6
We will now calculate the prime factors of 18396 and 18402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18396 and 18402.
How to find the GCF of 18396 and 18402?
We will first find the prime factorization of 18396 and 18402. After we will calculate the factors of 18396 and 18402 and find the biggest common factor number .
Step-1: Prime Factorization of 18396
Prime factors of 18396 are 2, 3, 7, 73. Prime factorization of 18396 in exponential form is:
18396 = 22 × 32 × 71 × 731
Step-2: Prime Factorization of 18402
Prime factors of 18402 are 2, 3, 3067. Prime factorization of 18402 in exponential form is:
18402 = 21 × 31 × 30671
Step-3: Factors of 18396
List of positive integer factors of 18396 that divides 18396 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 73, 84, 126, 146, 219, 252, 292, 438, 511, 657, 876, 1022, 1314, 1533, 2044, 2628, 3066, 4599, 6132, 9198
Step-4: Factors of 18402
List of positive integer factors of 18402 that divides 18396 without a remainder.
1, 2, 3, 6, 3067, 6134, 9201
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18396 and 18402. The biggest common factor number is the GCF number.
So the greatest common factor 18396 and 18402 is 6.
Also check out the Least Common Multiple of 18396 and 18402
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Related Greatest Common Factors of 18402
- GCF of 18402 and 18406
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