What is the Greatest Common Factor of 27867 and 27885?
Greatest common factor (GCF) of 27867 and 27885 is 3.
GCF(27867,27885) = 3
We will now calculate the prime factors of 27867 and 27885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27867 and 27885.
How to find the GCF of 27867 and 27885?
We will first find the prime factorization of 27867 and 27885. After we will calculate the factors of 27867 and 27885 and find the biggest common factor number .
Step-1: Prime Factorization of 27867
Prime factors of 27867 are 3, 7, 1327. Prime factorization of 27867 in exponential form is:
27867 = 31 × 71 × 13271
Step-2: Prime Factorization of 27885
Prime factors of 27885 are 3, 5, 11, 13. Prime factorization of 27885 in exponential form is:
27885 = 31 × 51 × 111 × 132
Step-3: Factors of 27867
List of positive integer factors of 27867 that divides 27867 without a remainder.
1, 3, 7, 21, 1327, 3981, 9289
Step-4: Factors of 27885
List of positive integer factors of 27885 that divides 27867 without a remainder.
1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 169, 195, 429, 507, 715, 845, 1859, 2145, 2535, 5577, 9295
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 27867 and 27885. The biggest common factor number is the GCF number.
So the greatest common factor 27867 and 27885 is 3.
Also check out the Least Common Multiple of 27867 and 27885
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