What is the Greatest Common Factor of 67818 and 67827?
Greatest common factor (GCF) of 67818 and 67827 is 3.
GCF(67818,67827) = 3
We will now calculate the prime factors of 67818 and 67827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67818 and 67827.
How to find the GCF of 67818 and 67827?
We will first find the prime factorization of 67818 and 67827. After we will calculate the factors of 67818 and 67827 and find the biggest common factor number .
Step-1: Prime Factorization of 67818
Prime factors of 67818 are 2, 3, 89, 127. Prime factorization of 67818 in exponential form is:
67818 = 21 × 31 × 891 × 1271
Step-2: Prime Factorization of 67827
Prime factors of 67827 are 3, 23, 983. Prime factorization of 67827 in exponential form is:
67827 = 31 × 231 × 9831
Step-3: Factors of 67818
List of positive integer factors of 67818 that divides 67818 without a remainder.
1, 2, 3, 6, 89, 127, 178, 254, 267, 381, 534, 762, 11303, 22606, 33909
Step-4: Factors of 67827
List of positive integer factors of 67827 that divides 67818 without a remainder.
1, 3, 23, 69, 983, 2949, 22609
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67818 and 67827. The biggest common factor number is the GCF number.
So the greatest common factor 67818 and 67827 is 3.
Also check out the Least Common Multiple of 67818 and 67827
Related Greatest Common Factors of 67818
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Related Greatest Common Factors of 67827
- GCF of 67827 and 67831
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- GCF of 67827 and 67835
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- GCF of 67827 and 67842
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