What is the Greatest Common Factor of 4735 and 4743?
Greatest common factor (GCF) of 4735 and 4743 is 1.
GCF(4735,4743) = 1
We will now calculate the prime factors of 4735 and 4743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4735 and 4743.
How to find the GCF of 4735 and 4743?
We will first find the prime factorization of 4735 and 4743. After we will calculate the factors of 4735 and 4743 and find the biggest common factor number .
Step-1: Prime Factorization of 4735
Prime factors of 4735 are 5, 947. Prime factorization of 4735 in exponential form is:
4735 = 51 × 9471
Step-2: Prime Factorization of 4743
Prime factors of 4743 are 3, 17, 31. Prime factorization of 4743 in exponential form is:
4743 = 32 × 171 × 311
Step-3: Factors of 4735
List of positive integer factors of 4735 that divides 4735 without a remainder.
1, 5, 947
Step-4: Factors of 4743
List of positive integer factors of 4743 that divides 4735 without a remainder.
1, 3, 9, 17, 31, 51, 93, 153, 279, 527, 1581
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4735 and 4743. The biggest common factor number is the GCF number.
So the greatest common factor 4735 and 4743 is 1.
Also check out the Least Common Multiple of 4735 and 4743
Related Greatest Common Factors of 4735
- GCF of 4735 and 4739
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- GCF of 4735 and 4742
- GCF of 4735 and 4743
- GCF of 4735 and 4744
- GCF of 4735 and 4745
- GCF of 4735 and 4746
- GCF of 4735 and 4747
- GCF of 4735 and 4748
- GCF of 4735 and 4749
- GCF of 4735 and 4750
- GCF of 4735 and 4751
- GCF of 4735 and 4752
- GCF of 4735 and 4753
- GCF of 4735 and 4754
- GCF of 4735 and 4755
Related Greatest Common Factors of 4743
- GCF of 4743 and 4747
- GCF of 4743 and 4748
- GCF of 4743 and 4749
- GCF of 4743 and 4750
- GCF of 4743 and 4751
- GCF of 4743 and 4752
- GCF of 4743 and 4753
- GCF of 4743 and 4754
- GCF of 4743 and 4755
- GCF of 4743 and 4756
- GCF of 4743 and 4757
- GCF of 4743 and 4758
- GCF of 4743 and 4759
- GCF of 4743 and 4760
- GCF of 4743 and 4761
- GCF of 4743 and 4762
- GCF of 4743 and 4763