What is the Greatest Common Factor of 9719 and 9724?
Greatest common factor (GCF) of 9719 and 9724 is 1.
GCF(9719,9724) = 1
We will now calculate the prime factors of 9719 and 9724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9719 and 9724.
How to find the GCF of 9719 and 9724?
We will first find the prime factorization of 9719 and 9724. After we will calculate the factors of 9719 and 9724 and find the biggest common factor number .
Step-1: Prime Factorization of 9719
Prime factors of 9719 are 9719. Prime factorization of 9719 in exponential form is:
9719 = 97191
Step-2: 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-3: Factors of 9719
List of positive integer factors of 9719 that divides 9719 without a remainder.
1
Step-4: Factors of 9724
List of positive integer factors of 9724 that divides 9719 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
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9719 and 9724. The biggest common factor number is the GCF number.
So the greatest common factor 9719 and 9724 is 1.
Also check out the Least Common Multiple of 9719 and 9724
Related Greatest Common Factors of 9719
- GCF of 9719 and 9723
- GCF of 9719 and 9724
- GCF of 9719 and 9725
- GCF of 9719 and 9726
- GCF of 9719 and 9727
- GCF of 9719 and 9728
- GCF of 9719 and 9729
- GCF of 9719 and 9730
- GCF of 9719 and 9731
- GCF of 9719 and 9732
- GCF of 9719 and 9733
- GCF of 9719 and 9734
- GCF of 9719 and 9735
- GCF of 9719 and 9736
- GCF of 9719 and 9737
- GCF of 9719 and 9738
- GCF of 9719 and 9739
Related Greatest Common Factors of 9724
- GCF of 9724 and 9728
- GCF of 9724 and 9729
- GCF of 9724 and 9730
- GCF of 9724 and 9731
- GCF of 9724 and 9732
- GCF of 9724 and 9733
- GCF of 9724 and 9734
- GCF of 9724 and 9735
- GCF of 9724 and 9736
- GCF of 9724 and 9737
- GCF of 9724 and 9738
- GCF of 9724 and 9739
- GCF of 9724 and 9740
- GCF of 9724 and 9741
- GCF of 9724 and 9742
- GCF of 9724 and 9743
- GCF of 9724 and 9744