What is the Greatest Common Factor of 9718 and 9732?
Greatest common factor (GCF) of 9718 and 9732 is 2.
GCF(9718,9732) = 2
We will now calculate the prime factors of 9718 and 9732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9718 and 9732.
How to find the GCF of 9718 and 9732?
We will first find the prime factorization of 9718 and 9732. After we will calculate the factors of 9718 and 9732 and find the biggest common factor number .
Step-1: Prime Factorization of 9718
Prime factors of 9718 are 2, 43, 113. Prime factorization of 9718 in exponential form is:
9718 = 21 × 431 × 1131
Step-2: Prime Factorization of 9732
Prime factors of 9732 are 2, 3, 811. Prime factorization of 9732 in exponential form is:
9732 = 22 × 31 × 8111
Step-3: Factors of 9718
List of positive integer factors of 9718 that divides 9718 without a remainder.
1, 2, 43, 86, 113, 226, 4859
Step-4: Factors of 9732
List of positive integer factors of 9732 that divides 9718 without a remainder.
1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9718 and 9732. The biggest common factor number is the GCF number.
So the greatest common factor 9718 and 9732 is 2.
Also check out the Least Common Multiple of 9718 and 9732
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Related Greatest Common Factors of 9732
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