What is the Greatest Common Factor of 33054 and 33059?
Greatest common factor (GCF) of 33054 and 33059 is 1.
GCF(33054,33059) = 1
We will now calculate the prime factors of 33054 and 33059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33054 and 33059.
How to find the GCF of 33054 and 33059?
We will first find the prime factorization of 33054 and 33059. After we will calculate the factors of 33054 and 33059 and find the biggest common factor number .
Step-1: Prime Factorization of 33054
Prime factors of 33054 are 2, 3, 7, 787. Prime factorization of 33054 in exponential form is:
33054 = 21 × 31 × 71 × 7871
Step-2: Prime Factorization of 33059
Prime factors of 33059 are 13, 2543. Prime factorization of 33059 in exponential form is:
33059 = 131 × 25431
Step-3: Factors of 33054
List of positive integer factors of 33054 that divides 33054 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 787, 1574, 2361, 4722, 5509, 11018, 16527
Step-4: Factors of 33059
List of positive integer factors of 33059 that divides 33054 without a remainder.
1, 13, 2543
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 33054 and 33059. The biggest common factor number is the GCF number.
So the greatest common factor 33054 and 33059 is 1.
Also check out the Least Common Multiple of 33054 and 33059
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