What is the Greatest Common Factor of 3667 and 3682?
Greatest common factor (GCF) of 3667 and 3682 is 1.
GCF(3667,3682) = 1
We will now calculate the prime factors of 3667 and 3682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3667 and 3682.
How to find the GCF of 3667 and 3682?
We will first find the prime factorization of 3667 and 3682. After we will calculate the factors of 3667 and 3682 and find the biggest common factor number .
Step-1: Prime Factorization of 3667
Prime factors of 3667 are 19, 193. Prime factorization of 3667 in exponential form is:
3667 = 191 × 1931
Step-2: Prime Factorization of 3682
Prime factors of 3682 are 2, 7, 263. Prime factorization of 3682 in exponential form is:
3682 = 21 × 71 × 2631
Step-3: Factors of 3667
List of positive integer factors of 3667 that divides 3667 without a remainder.
1, 19, 193
Step-4: Factors of 3682
List of positive integer factors of 3682 that divides 3667 without a remainder.
1, 2, 7, 14, 263, 526, 1841
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 3667 and 3682. The biggest common factor number is the GCF number.
So the greatest common factor 3667 and 3682 is 1.
Also check out the Least Common Multiple of 3667 and 3682
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