What is the Greatest Common Factor of 2889 and 2908?
Greatest common factor (GCF) of 2889 and 2908 is 1.
GCF(2889,2908) = 1
We will now calculate the prime factors of 2889 and 2908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2889 and 2908.
How to find the GCF of 2889 and 2908?
We will first find the prime factorization of 2889 and 2908. After we will calculate the factors of 2889 and 2908 and find the biggest common factor number .
Step-1: Prime Factorization of 2889
Prime factors of 2889 are 3, 107. Prime factorization of 2889 in exponential form is:
2889 = 33 × 1071
Step-2: Prime Factorization of 2908
Prime factors of 2908 are 2, 727. Prime factorization of 2908 in exponential form is:
2908 = 22 × 7271
Step-3: Factors of 2889
List of positive integer factors of 2889 that divides 2889 without a remainder.
1, 3, 9, 27, 107, 321, 963
Step-4: Factors of 2908
List of positive integer factors of 2908 that divides 2889 without a remainder.
1, 2, 4, 727, 1454
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 2889 and 2908. The biggest common factor number is the GCF number.
So the greatest common factor 2889 and 2908 is 1.
Also check out the Least Common Multiple of 2889 and 2908
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