What is the Greatest Common Factor of 76890 and 76899?
Greatest common factor (GCF) of 76890 and 76899 is 3.
GCF(76890,76899) = 3
We will now calculate the prime factors of 76890 and 76899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76890 and 76899.
How to find the GCF of 76890 and 76899?
We will first find the prime factorization of 76890 and 76899. After we will calculate the factors of 76890 and 76899 and find the biggest common factor number .
Step-1: Prime Factorization of 76890
Prime factors of 76890 are 2, 3, 5, 11, 233. Prime factorization of 76890 in exponential form is:
76890 = 21 × 31 × 51 × 111 × 2331
Step-2: Prime Factorization of 76899
Prime factors of 76899 are 3, 25633. Prime factorization of 76899 in exponential form is:
76899 = 31 × 256331
Step-3: Factors of 76890
List of positive integer factors of 76890 that divides 76890 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 233, 330, 466, 699, 1165, 1398, 2330, 2563, 3495, 5126, 6990, 7689, 12815, 15378, 25630, 38445
Step-4: Factors of 76899
List of positive integer factors of 76899 that divides 76890 without a remainder.
1, 3, 25633
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 76890 and 76899. The biggest common factor number is the GCF number.
So the greatest common factor 76890 and 76899 is 3.
Also check out the Least Common Multiple of 76890 and 76899
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