What is the Greatest Common Factor of 16358 and 16362?
Greatest common factor (GCF) of 16358 and 16362 is 2.
GCF(16358,16362) = 2
We will now calculate the prime factors of 16358 and 16362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16358 and 16362.
How to find the GCF of 16358 and 16362?
We will first find the prime factorization of 16358 and 16362. After we will calculate the factors of 16358 and 16362 and find the biggest common factor number .
Step-1: Prime Factorization of 16358
Prime factors of 16358 are 2, 8179. Prime factorization of 16358 in exponential form is:
16358 = 21 × 81791
Step-2: 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-3: Factors of 16358
List of positive integer factors of 16358 that divides 16358 without a remainder.
1, 2, 8179
Step-4: Factors of 16362
List of positive integer factors of 16362 that divides 16358 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 101, 162, 202, 303, 606, 909, 1818, 2727, 5454, 8181
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16358 and 16362. The biggest common factor number is the GCF number.
So the greatest common factor 16358 and 16362 is 2.
Also check out the Least Common Multiple of 16358 and 16362
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