What is the Greatest Common Factor of 33244 and 33254?
Greatest common factor (GCF) of 33244 and 33254 is 2.
GCF(33244,33254) = 2
We will now calculate the prime factors of 33244 and 33254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33244 and 33254.
How to find the GCF of 33244 and 33254?
We will first find the prime factorization of 33244 and 33254. After we will calculate the factors of 33244 and 33254 and find the biggest common factor number .
Step-1: Prime Factorization of 33244
Prime factors of 33244 are 2, 8311. Prime factorization of 33244 in exponential form is:
33244 = 22 × 83111
Step-2: Prime Factorization of 33254
Prime factors of 33254 are 2, 13, 1279. Prime factorization of 33254 in exponential form is:
33254 = 21 × 131 × 12791
Step-3: Factors of 33244
List of positive integer factors of 33244 that divides 33244 without a remainder.
1, 2, 4, 8311, 16622
Step-4: Factors of 33254
List of positive integer factors of 33254 that divides 33244 without a remainder.
1, 2, 13, 26, 1279, 2558, 16627
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 33244 and 33254. The biggest common factor number is the GCF number.
So the greatest common factor 33244 and 33254 is 2.
Also check out the Least Common Multiple of 33244 and 33254
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