What is the Greatest Common Factor of 4737 and 4753?
Greatest common factor (GCF) of 4737 and 4753 is 1.
GCF(4737,4753) = 1
We will now calculate the prime factors of 4737 and 4753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4737 and 4753.
How to find the GCF of 4737 and 4753?
We will first find the prime factorization of 4737 and 4753. After we will calculate the factors of 4737 and 4753 and find the biggest common factor number .
Step-1: Prime Factorization of 4737
Prime factors of 4737 are 3, 1579. Prime factorization of 4737 in exponential form is:
4737 = 31 × 15791
Step-2: Prime Factorization of 4753
Prime factors of 4753 are 7, 97. Prime factorization of 4753 in exponential form is:
4753 = 72 × 971
Step-3: Factors of 4737
List of positive integer factors of 4737 that divides 4737 without a remainder.
1, 3, 1579
Step-4: Factors of 4753
List of positive integer factors of 4753 that divides 4737 without a remainder.
1, 7, 49, 97, 679
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4737 and 4753. The biggest common factor number is the GCF number.
So the greatest common factor 4737 and 4753 is 1.
Also check out the Least Common Multiple of 4737 and 4753
Related Greatest Common Factors of 4737
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- GCF of 4737 and 4748
- GCF of 4737 and 4749
- GCF of 4737 and 4750
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- GCF of 4737 and 4752
- GCF of 4737 and 4753
- GCF of 4737 and 4754
- GCF of 4737 and 4755
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Related Greatest Common Factors of 4753
- GCF of 4753 and 4757
- GCF of 4753 and 4758
- GCF of 4753 and 4759
- GCF of 4753 and 4760
- GCF of 4753 and 4761
- GCF of 4753 and 4762
- GCF of 4753 and 4763
- GCF of 4753 and 4764
- GCF of 4753 and 4765
- GCF of 4753 and 4766
- GCF of 4753 and 4767
- GCF of 4753 and 4768
- GCF of 4753 and 4769
- GCF of 4753 and 4770
- GCF of 4753 and 4771
- GCF of 4753 and 4772
- GCF of 4753 and 4773