What is the Greatest Common Factor of 9730 and 9748?
Greatest common factor (GCF) of 9730 and 9748 is 2.
GCF(9730,9748) = 2
We will now calculate the prime factors of 9730 and 9748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9730 and 9748.
How to find the GCF of 9730 and 9748?
We will first find the prime factorization of 9730 and 9748. After we will calculate the factors of 9730 and 9748 and find the biggest common factor number .
Step-1: Prime Factorization of 9730
Prime factors of 9730 are 2, 5, 7, 139. Prime factorization of 9730 in exponential form is:
9730 = 21 × 51 × 71 × 1391
Step-2: Prime Factorization of 9748
Prime factors of 9748 are 2, 2437. Prime factorization of 9748 in exponential form is:
9748 = 22 × 24371
Step-3: Factors of 9730
List of positive integer factors of 9730 that divides 9730 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 139, 278, 695, 973, 1390, 1946, 4865
Step-4: Factors of 9748
List of positive integer factors of 9748 that divides 9730 without a remainder.
1, 2, 4, 2437, 4874
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9730 and 9748. The biggest common factor number is the GCF number.
So the greatest common factor 9730 and 9748 is 2.
Also check out the Least Common Multiple of 9730 and 9748
Related Greatest Common Factors of 9730
- GCF of 9730 and 9734
- GCF of 9730 and 9735
- GCF of 9730 and 9736
- GCF of 9730 and 9737
- GCF of 9730 and 9738
- GCF of 9730 and 9739
- GCF of 9730 and 9740
- GCF of 9730 and 9741
- GCF of 9730 and 9742
- GCF of 9730 and 9743
- GCF of 9730 and 9744
- GCF of 9730 and 9745
- GCF of 9730 and 9746
- GCF of 9730 and 9747
- GCF of 9730 and 9748
- GCF of 9730 and 9749
- GCF of 9730 and 9750
Related Greatest Common Factors of 9748
- GCF of 9748 and 9752
- GCF of 9748 and 9753
- GCF of 9748 and 9754
- GCF of 9748 and 9755
- GCF of 9748 and 9756
- GCF of 9748 and 9757
- GCF of 9748 and 9758
- GCF of 9748 and 9759
- GCF of 9748 and 9760
- GCF of 9748 and 9761
- GCF of 9748 and 9762
- GCF of 9748 and 9763
- GCF of 9748 and 9764
- GCF of 9748 and 9765
- GCF of 9748 and 9766
- GCF of 9748 and 9767
- GCF of 9748 and 9768