What is the Greatest Common Factor of 35649 and 35662?
Greatest common factor (GCF) of 35649 and 35662 is 1.
GCF(35649,35662) = 1
We will now calculate the prime factors of 35649 and 35662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35649 and 35662.
How to find the GCF of 35649 and 35662?
We will first find the prime factorization of 35649 and 35662. After we will calculate the factors of 35649 and 35662 and find the biggest common factor number .
Step-1: Prime Factorization of 35649
Prime factors of 35649 are 3, 17, 233. Prime factorization of 35649 in exponential form is:
35649 = 32 × 171 × 2331
Step-2: Prime Factorization of 35662
Prime factors of 35662 are 2, 11, 1621. Prime factorization of 35662 in exponential form is:
35662 = 21 × 111 × 16211
Step-3: Factors of 35649
List of positive integer factors of 35649 that divides 35649 without a remainder.
1, 3, 9, 17, 51, 153, 233, 699, 2097, 3961, 11883
Step-4: Factors of 35662
List of positive integer factors of 35662 that divides 35649 without a remainder.
1, 2, 11, 22, 1621, 3242, 17831
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 35649 and 35662. The biggest common factor number is the GCF number.
So the greatest common factor 35649 and 35662 is 1.
Also check out the Least Common Multiple of 35649 and 35662
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Related Greatest Common Factors of 35662
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