What is the Greatest Common Factor of 897 and 904?
Greatest common factor (GCF) of 897 and 904 is 1.
GCF(897,904) = 1
We will now calculate the prime factors of 897 and 904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 897 and 904.
How to find the GCF of 897 and 904?
We will first find the prime factorization of 897 and 904. After we will calculate the factors of 897 and 904 and find the biggest common factor number .
Step-1: Prime Factorization of 897
Prime factors of 897 are 3, 13, 23. Prime factorization of 897 in exponential form is:
897 = 31 × 131 × 231
Step-2: Prime Factorization of 904
Prime factors of 904 are 2, 113. Prime factorization of 904 in exponential form is:
904 = 23 × 1131
Step-3: Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299
Step-4: Factors of 904
List of positive integer factors of 904 that divides 897 without a remainder.
1, 2, 4, 8, 113, 226, 452
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 897 and 904. The biggest common factor number is the GCF number.
So the greatest common factor 897 and 904 is 1.
Also check out the Least Common Multiple of 897 and 904
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