What is the Greatest Common Factor of 3634 and 3643?
Greatest common factor (GCF) of 3634 and 3643 is 1.
GCF(3634,3643) = 1
We will now calculate the prime factors of 3634 and 3643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3634 and 3643.
How to find the GCF of 3634 and 3643?
We will first find the prime factorization of 3634 and 3643. After we will calculate the factors of 3634 and 3643 and find the biggest common factor number .
Step-1: Prime Factorization of 3634
Prime factors of 3634 are 2, 23, 79. Prime factorization of 3634 in exponential form is:
3634 = 21 × 231 × 791
Step-2: Prime Factorization of 3643
Prime factors of 3643 are 3643. Prime factorization of 3643 in exponential form is:
3643 = 36431
Step-3: Factors of 3634
List of positive integer factors of 3634 that divides 3634 without a remainder.
1, 2, 23, 46, 79, 158, 1817
Step-4: Factors of 3643
List of positive integer factors of 3643 that divides 3634 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 3634 and 3643. The biggest common factor number is the GCF number.
So the greatest common factor 3634 and 3643 is 1.
Also check out the Least Common Multiple of 3634 and 3643
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Related Greatest Common Factors of 3643
- GCF of 3643 and 3647
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