What is the Greatest Common Factor of 9739 and 9758?
Greatest common factor (GCF) of 9739 and 9758 is 1.
GCF(9739,9758) = 1
We will now calculate the prime factors of 9739 and 9758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9739 and 9758.
How to find the GCF of 9739 and 9758?
We will first find the prime factorization of 9739 and 9758. After we will calculate the factors of 9739 and 9758 and find the biggest common factor number .
Step-1: Prime Factorization of 9739
Prime factors of 9739 are 9739. Prime factorization of 9739 in exponential form is:
9739 = 97391
Step-2: Prime Factorization of 9758
Prime factors of 9758 are 2, 7, 17, 41. Prime factorization of 9758 in exponential form is:
9758 = 21 × 71 × 171 × 411
Step-3: Factors of 9739
List of positive integer factors of 9739 that divides 9739 without a remainder.
1
Step-4: Factors of 9758
List of positive integer factors of 9758 that divides 9739 without a remainder.
1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9739 and 9758. The biggest common factor number is the GCF number.
So the greatest common factor 9739 and 9758 is 1.
Also check out the Least Common Multiple of 9739 and 9758
Related Greatest Common Factors of 9739
- GCF of 9739 and 9743
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- GCF of 9739 and 9746
- GCF of 9739 and 9747
- GCF of 9739 and 9748
- GCF of 9739 and 9749
- GCF of 9739 and 9750
- GCF of 9739 and 9751
- GCF of 9739 and 9752
- GCF of 9739 and 9753
- GCF of 9739 and 9754
- GCF of 9739 and 9755
- GCF of 9739 and 9756
- GCF of 9739 and 9757
- GCF of 9739 and 9758
- GCF of 9739 and 9759
Related Greatest Common Factors of 9758
- GCF of 9758 and 9762
- GCF of 9758 and 9763
- GCF of 9758 and 9764
- GCF of 9758 and 9765
- GCF of 9758 and 9766
- GCF of 9758 and 9767
- GCF of 9758 and 9768
- GCF of 9758 and 9769
- GCF of 9758 and 9770
- GCF of 9758 and 9771
- GCF of 9758 and 9772
- GCF of 9758 and 9773
- GCF of 9758 and 9774
- GCF of 9758 and 9775
- GCF of 9758 and 9776
- GCF of 9758 and 9777
- GCF of 9758 and 9778