What is the Greatest Common Factor of 9706 and 9720?
Greatest common factor (GCF) of 9706 and 9720 is 2.
GCF(9706,9720) = 2
We will now calculate the prime factors of 9706 and 9720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9706 and 9720.
How to find the GCF of 9706 and 9720?
We will first find the prime factorization of 9706 and 9720. After we will calculate the factors of 9706 and 9720 and find the biggest common factor number .
Step-1: Prime Factorization of 9706
Prime factors of 9706 are 2, 23, 211. Prime factorization of 9706 in exponential form is:
9706 = 21 × 231 × 2111
Step-2: Prime Factorization of 9720
Prime factors of 9720 are 2, 3, 5. Prime factorization of 9720 in exponential form is:
9720 = 23 × 35 × 51
Step-3: Factors of 9706
List of positive integer factors of 9706 that divides 9706 without a remainder.
1, 2, 23, 46, 211, 422, 4853
Step-4: Factors of 9720
List of positive integer factors of 9720 that divides 9706 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 243, 270, 324, 360, 405, 486, 540, 648, 810, 972, 1080, 1215, 1620, 1944, 2430, 3240, 4860
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9706 and 9720. The biggest common factor number is the GCF number.
So the greatest common factor 9706 and 9720 is 2.
Also check out the Least Common Multiple of 9706 and 9720
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Related Greatest Common Factors of 9720
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