What is the Greatest Common Factor of 67806 and 67818?
Greatest common factor (GCF) of 67806 and 67818 is 6.
GCF(67806,67818) = 6
We will now calculate the prime factors of 67806 and 67818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67806 and 67818.
How to find the GCF of 67806 and 67818?
We will first find the prime factorization of 67806 and 67818. After we will calculate the factors of 67806 and 67818 and find the biggest common factor number .
Step-1: Prime Factorization of 67806
Prime factors of 67806 are 2, 3, 3767. Prime factorization of 67806 in exponential form is:
67806 = 21 × 32 × 37671
Step-2: 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-3: Factors of 67806
List of positive integer factors of 67806 that divides 67806 without a remainder.
1, 2, 3, 6, 9, 18, 3767, 7534, 11301, 22602, 33903
Step-4: Factors of 67818
List of positive integer factors of 67818 that divides 67806 without a remainder.
1, 2, 3, 6, 89, 127, 178, 254, 267, 381, 534, 762, 11303, 22606, 33909
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67806 and 67818. The biggest common factor number is the GCF number.
So the greatest common factor 67806 and 67818 is 6.
Also check out the Least Common Multiple of 67806 and 67818
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