What is the Greatest Common Factor of 68712 and 68721?
Greatest common factor (GCF) of 68712 and 68721 is 3.
GCF(68712,68721) = 3
We will now calculate the prime factors of 68712 and 68721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68712 and 68721.
How to find the GCF of 68712 and 68721?
We will first find the prime factorization of 68712 and 68721. After we will calculate the factors of 68712 and 68721 and find the biggest common factor number .
Step-1: Prime Factorization of 68712
Prime factors of 68712 are 2, 3, 7, 409. Prime factorization of 68712 in exponential form is:
68712 = 23 × 31 × 71 × 4091
Step-2: Prime Factorization of 68721
Prime factors of 68721 are 3, 22907. Prime factorization of 68721 in exponential form is:
68721 = 31 × 229071
Step-3: Factors of 68712
List of positive integer factors of 68712 that divides 68712 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 409, 818, 1227, 1636, 2454, 2863, 3272, 4908, 5726, 8589, 9816, 11452, 17178, 22904, 34356
Step-4: Factors of 68721
List of positive integer factors of 68721 that divides 68712 without a remainder.
1, 3, 22907
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 68712 and 68721. The biggest common factor number is the GCF number.
So the greatest common factor 68712 and 68721 is 3.
Also check out the Least Common Multiple of 68712 and 68721
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