What is the Greatest Common Factor of 9724 and 9739?
Greatest common factor (GCF) of 9724 and 9739 is 1.
GCF(9724,9739) = 1
We will now calculate the prime factors of 9724 and 9739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9724 and 9739.
How to find the GCF of 9724 and 9739?
We will first find the prime factorization of 9724 and 9739. After we will calculate the factors of 9724 and 9739 and find the biggest common factor number .
Step-1: Prime Factorization of 9724
Prime factors of 9724 are 2, 11, 13, 17. Prime factorization of 9724 in exponential form is:
9724 = 22 × 111 × 131 × 171
Step-2: Prime Factorization of 9739
Prime factors of 9739 are 9739. Prime factorization of 9739 in exponential form is:
9739 = 97391
Step-3: Factors of 9724
List of positive integer factors of 9724 that divides 9724 without a remainder.
1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862
Step-4: Factors of 9739
List of positive integer factors of 9739 that divides 9724 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9724 and 9739. The biggest common factor number is the GCF number.
So the greatest common factor 9724 and 9739 is 1.
Also check out the Least Common Multiple of 9724 and 9739
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Related Greatest Common Factors of 9739
- GCF of 9739 and 9743
- GCF of 9739 and 9744
- GCF of 9739 and 9745
- GCF of 9739 and 9746
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- GCF of 9739 and 9748
- GCF of 9739 and 9749
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- 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
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