What is the Greatest Common Factor of 11663 and 11678?
Greatest common factor (GCF) of 11663 and 11678 is 1.
GCF(11663,11678) = 1
We will now calculate the prime factors of 11663 and 11678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11663 and 11678.
How to find the GCF of 11663 and 11678?
We will first find the prime factorization of 11663 and 11678. After we will calculate the factors of 11663 and 11678 and find the biggest common factor number .
Step-1: Prime Factorization of 11663
Prime factors of 11663 are 107, 109. Prime factorization of 11663 in exponential form is:
11663 = 1071 × 1091
Step-2: Prime Factorization of 11678
Prime factors of 11678 are 2, 5839. Prime factorization of 11678 in exponential form is:
11678 = 21 × 58391
Step-3: Factors of 11663
List of positive integer factors of 11663 that divides 11663 without a remainder.
1, 107, 109
Step-4: Factors of 11678
List of positive integer factors of 11678 that divides 11663 without a remainder.
1, 2, 5839
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11663 and 11678. The biggest common factor number is the GCF number.
So the greatest common factor 11663 and 11678 is 1.
Also check out the Least Common Multiple of 11663 and 11678
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Related Greatest Common Factors of 11678
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