What is the Greatest Common Factor of 33665 and 33680?
Greatest common factor (GCF) of 33665 and 33680 is 5.
GCF(33665,33680) = 5
We will now calculate the prime factors of 33665 and 33680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33665 and 33680.
How to find the GCF of 33665 and 33680?
We will first find the prime factorization of 33665 and 33680. After we will calculate the factors of 33665 and 33680 and find the biggest common factor number .
Step-1: Prime Factorization of 33665
Prime factors of 33665 are 5, 6733. Prime factorization of 33665 in exponential form is:
33665 = 51 × 67331
Step-2: Prime Factorization of 33680
Prime factors of 33680 are 2, 5, 421. Prime factorization of 33680 in exponential form is:
33680 = 24 × 51 × 4211
Step-3: Factors of 33665
List of positive integer factors of 33665 that divides 33665 without a remainder.
1, 5, 6733
Step-4: Factors of 33680
List of positive integer factors of 33680 that divides 33665 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 421, 842, 1684, 2105, 3368, 4210, 6736, 8420, 16840
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 33665 and 33680. The biggest common factor number is the GCF number.
So the greatest common factor 33665 and 33680 is 5.
Also check out the Least Common Multiple of 33665 and 33680
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