What is the Greatest Common Factor of 16362 and 16374?
Greatest common factor (GCF) of 16362 and 16374 is 6.
GCF(16362,16374) = 6
We will now calculate the prime factors of 16362 and 16374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16362 and 16374.
How to find the GCF of 16362 and 16374?
We will first find the prime factorization of 16362 and 16374. After we will calculate the factors of 16362 and 16374 and find the biggest common factor number .
Step-1: Prime Factorization of 16362
Prime factors of 16362 are 2, 3, 101. Prime factorization of 16362 in exponential form is:
16362 = 21 × 34 × 1011
Step-2: Prime Factorization of 16374
Prime factors of 16374 are 2, 3, 2729. Prime factorization of 16374 in exponential form is:
16374 = 21 × 31 × 27291
Step-3: Factors of 16362
List of positive integer factors of 16362 that divides 16362 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 101, 162, 202, 303, 606, 909, 1818, 2727, 5454, 8181
Step-4: Factors of 16374
List of positive integer factors of 16374 that divides 16362 without a remainder.
1, 2, 3, 6, 2729, 5458, 8187
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16362 and 16374. The biggest common factor number is the GCF number.
So the greatest common factor 16362 and 16374 is 6.
Also check out the Least Common Multiple of 16362 and 16374
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