What is the Greatest Common Factor of 9039 and 9056?
Greatest common factor (GCF) of 9039 and 9056 is 1.
GCF(9039,9056) = 1
We will now calculate the prime factors of 9039 and 9056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9039 and 9056.
How to find the GCF of 9039 and 9056?
We will first find the prime factorization of 9039 and 9056. After we will calculate the factors of 9039 and 9056 and find the biggest common factor number .
Step-1: Prime Factorization of 9039
Prime factors of 9039 are 3, 23, 131. Prime factorization of 9039 in exponential form is:
9039 = 31 × 231 × 1311
Step-2: Prime Factorization of 9056
Prime factors of 9056 are 2, 283. Prime factorization of 9056 in exponential form is:
9056 = 25 × 2831
Step-3: Factors of 9039
List of positive integer factors of 9039 that divides 9039 without a remainder.
1, 3, 23, 69, 131, 393, 3013
Step-4: Factors of 9056
List of positive integer factors of 9056 that divides 9039 without a remainder.
1, 2, 4, 8, 16, 32, 283, 566, 1132, 2264, 4528
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9039 and 9056. The biggest common factor number is the GCF number.
So the greatest common factor 9039 and 9056 is 1.
Also check out the Least Common Multiple of 9039 and 9056
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