What is the Greatest Common Factor of 7682 and 7689?
Greatest common factor (GCF) of 7682 and 7689 is 1.
GCF(7682,7689) = 1
We will now calculate the prime factors of 7682 and 7689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7682 and 7689.
How to find the GCF of 7682 and 7689?
We will first find the prime factorization of 7682 and 7689. After we will calculate the factors of 7682 and 7689 and find the biggest common factor number .
Step-1: Prime Factorization of 7682
Prime factors of 7682 are 2, 23, 167. Prime factorization of 7682 in exponential form is:
7682 = 21 × 231 × 1671
Step-2: Prime Factorization of 7689
Prime factors of 7689 are 3, 11, 233. Prime factorization of 7689 in exponential form is:
7689 = 31 × 111 × 2331
Step-3: Factors of 7682
List of positive integer factors of 7682 that divides 7682 without a remainder.
1, 2, 23, 46, 167, 334, 3841
Step-4: Factors of 7689
List of positive integer factors of 7689 that divides 7682 without a remainder.
1, 3, 11, 33, 233, 699, 2563
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7682 and 7689. The biggest common factor number is the GCF number.
So the greatest common factor 7682 and 7689 is 1.
Also check out the Least Common Multiple of 7682 and 7689
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