What is the Greatest Common Factor of 4739 and 4747?
Greatest common factor (GCF) of 4739 and 4747 is 1.
GCF(4739,4747) = 1
We will now calculate the prime factors of 4739 and 4747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4739 and 4747.
How to find the GCF of 4739 and 4747?
We will first find the prime factorization of 4739 and 4747. After we will calculate the factors of 4739 and 4747 and find the biggest common factor number .
Step-1: Prime Factorization of 4739
Prime factors of 4739 are 7, 677. Prime factorization of 4739 in exponential form is:
4739 = 71 × 6771
Step-2: Prime Factorization of 4747
Prime factors of 4747 are 47, 101. Prime factorization of 4747 in exponential form is:
4747 = 471 × 1011
Step-3: Factors of 4739
List of positive integer factors of 4739 that divides 4739 without a remainder.
1, 7, 677
Step-4: Factors of 4747
List of positive integer factors of 4747 that divides 4739 without a remainder.
1, 47, 101
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4739 and 4747. The biggest common factor number is the GCF number.
So the greatest common factor 4739 and 4747 is 1.
Also check out the Least Common Multiple of 4739 and 4747
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Related Greatest Common Factors of 4747
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