What is the Greatest Common Factor of 71715 and 71733?
Greatest common factor (GCF) of 71715 and 71733 is 3.
GCF(71715,71733) = 3
We will now calculate the prime factors of 71715 and 71733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71715 and 71733.
How to find the GCF of 71715 and 71733?
We will first find the prime factorization of 71715 and 71733. After we will calculate the factors of 71715 and 71733 and find the biggest common factor number .
Step-1: Prime Factorization of 71715
Prime factors of 71715 are 3, 5, 7, 683. Prime factorization of 71715 in exponential form is:
71715 = 31 × 51 × 71 × 6831
Step-2: Prime Factorization of 71733
Prime factors of 71733 are 3, 23911. Prime factorization of 71733 in exponential form is:
71733 = 31 × 239111
Step-3: Factors of 71715
List of positive integer factors of 71715 that divides 71715 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105, 683, 2049, 3415, 4781, 10245, 14343, 23905
Step-4: Factors of 71733
List of positive integer factors of 71733 that divides 71715 without a remainder.
1, 3, 23911
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 71715 and 71733. The biggest common factor number is the GCF number.
So the greatest common factor 71715 and 71733 is 3.
Also check out the Least Common Multiple of 71715 and 71733
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