What is the Greatest Common Factor of 873 and 888?
Greatest common factor (GCF) of 873 and 888 is 3.
GCF(873,888) = 3
We will now calculate the prime factors of 873 and 888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 873 and 888.
How to find the GCF of 873 and 888?
We will first find the prime factorization of 873 and 888. After we will calculate the factors of 873 and 888 and find the biggest common factor number .
Step-1: Prime Factorization of 873
Prime factors of 873 are 3, 97. Prime factorization of 873 in exponential form is:
873 = 32 × 971
Step-2: Prime Factorization of 888
Prime factors of 888 are 2, 3, 37. Prime factorization of 888 in exponential form is:
888 = 23 × 31 × 371
Step-3: Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291
Step-4: Factors of 888
List of positive integer factors of 888 that divides 873 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 873 and 888. The biggest common factor number is the GCF number.
So the greatest common factor 873 and 888 is 3.
Also check out the Least Common Multiple of 873 and 888
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