What is the Greatest Common Factor of 35669 and 35682?
Greatest common factor (GCF) of 35669 and 35682 is 1.
GCF(35669,35682) = 1
We will now calculate the prime factors of 35669 and 35682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35669 and 35682.
How to find the GCF of 35669 and 35682?
We will first find the prime factorization of 35669 and 35682. After we will calculate the factors of 35669 and 35682 and find the biggest common factor number .
Step-1: Prime Factorization of 35669
Prime factors of 35669 are 53, 673. Prime factorization of 35669 in exponential form is:
35669 = 531 × 6731
Step-2: Prime Factorization of 35682
Prime factors of 35682 are 2, 3, 19, 313. Prime factorization of 35682 in exponential form is:
35682 = 21 × 31 × 191 × 3131
Step-3: Factors of 35669
List of positive integer factors of 35669 that divides 35669 without a remainder.
1, 53, 673
Step-4: Factors of 35682
List of positive integer factors of 35682 that divides 35669 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114, 313, 626, 939, 1878, 5947, 11894, 17841
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 35669 and 35682. The biggest common factor number is the GCF number.
So the greatest common factor 35669 and 35682 is 1.
Also check out the Least Common Multiple of 35669 and 35682
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Related Greatest Common Factors of 35682
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