What is the Greatest Common Factor of 9741 and 9754?
Greatest common factor (GCF) of 9741 and 9754 is 1.
GCF(9741,9754) = 1
We will now calculate the prime factors of 9741 and 9754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9741 and 9754.
How to find the GCF of 9741 and 9754?
We will first find the prime factorization of 9741 and 9754. After we will calculate the factors of 9741 and 9754 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 9754
Prime factors of 9754 are 2, 4877. Prime factorization of 9754 in exponential form is:
9754 = 21 × 48771
Step-3: Factors of 9741
List of positive integer factors of 9741 that divides 9741 without a remainder.
1, 3, 17, 51, 191, 573, 3247
Step-4: Factors of 9754
List of positive integer factors of 9754 that divides 9741 without a remainder.
1, 2, 4877
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9741 and 9754. The biggest common factor number is the GCF number.
So the greatest common factor 9741 and 9754 is 1.
Also check out the Least Common Multiple of 9741 and 9754
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- GCF of 9741 and 9752
- GCF of 9741 and 9753
- GCF of 9741 and 9754
- GCF of 9741 and 9755
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- GCF of 9741 and 9757
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Related Greatest Common Factors of 9754
- GCF of 9754 and 9758
- GCF of 9754 and 9759
- GCF of 9754 and 9760
- GCF of 9754 and 9761
- GCF of 9754 and 9762
- GCF of 9754 and 9763
- GCF of 9754 and 9764
- GCF of 9754 and 9765
- GCF of 9754 and 9766
- GCF of 9754 and 9767
- GCF of 9754 and 9768
- GCF of 9754 and 9769
- GCF of 9754 and 9770
- GCF of 9754 and 9771
- GCF of 9754 and 9772
- GCF of 9754 and 9773
- GCF of 9754 and 9774