What is the Greatest Common Factor of 9721 and 9741?
Greatest common factor (GCF) of 9721 and 9741 is 1.
GCF(9721,9741) = 1
We will now calculate the prime factors of 9721 and 9741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9721 and 9741.
How to find the GCF of 9721 and 9741?
We will first find the prime factorization of 9721 and 9741. After we will calculate the factors of 9721 and 9741 and find the biggest common factor number .
Step-1: Prime Factorization of 9721
Prime factors of 9721 are 9721. Prime factorization of 9721 in exponential form is:
9721 = 97211
Step-2: Prime Factorization of 9741
Prime factors of 9741 are 3, 17, 191. Prime factorization of 9741 in exponential form is:
9741 = 31 × 171 × 1911
Step-3: Factors of 9721
List of positive integer factors of 9721 that divides 9721 without a remainder.
1
Step-4: Factors of 9741
List of positive integer factors of 9741 that divides 9721 without a remainder.
1, 3, 17, 51, 191, 573, 3247
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9721 and 9741. The biggest common factor number is the GCF number.
So the greatest common factor 9721 and 9741 is 1.
Also check out the Least Common Multiple of 9721 and 9741
Related Greatest Common Factors of 9721
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- GCF of 9721 and 9736
- GCF of 9721 and 9737
- GCF of 9721 and 9738
- GCF of 9721 and 9739
- GCF of 9721 and 9740
- GCF of 9721 and 9741
Related Greatest Common Factors of 9741
- GCF of 9741 and 9745
- GCF of 9741 and 9746
- GCF of 9741 and 9747
- GCF of 9741 and 9748
- GCF of 9741 and 9749
- GCF of 9741 and 9750
- GCF of 9741 and 9751
- GCF of 9741 and 9752
- GCF of 9741 and 9753
- GCF of 9741 and 9754
- GCF of 9741 and 9755
- GCF of 9741 and 9756
- GCF of 9741 and 9757
- GCF of 9741 and 9758
- GCF of 9741 and 9759
- GCF of 9741 and 9760
- GCF of 9741 and 9761