What is the Greatest Common Factor of 4741 and 4761?
Greatest common factor (GCF) of 4741 and 4761 is 1.
GCF(4741,4761) = 1
We will now calculate the prime factors of 4741 and 4761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4741 and 4761.
How to find the GCF of 4741 and 4761?
We will first find the prime factorization of 4741 and 4761. After we will calculate the factors of 4741 and 4761 and find the biggest common factor number .
Step-1: Prime Factorization of 4741
Prime factors of 4741 are 11, 431. Prime factorization of 4741 in exponential form is:
4741 = 111 × 4311
Step-2: Prime Factorization of 4761
Prime factors of 4761 are 3, 23. Prime factorization of 4761 in exponential form is:
4761 = 32 × 232
Step-3: Factors of 4741
List of positive integer factors of 4741 that divides 4741 without a remainder.
1, 11, 431
Step-4: Factors of 4761
List of positive integer factors of 4761 that divides 4741 without a remainder.
1, 3, 9, 23, 69, 207, 529, 1587
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4741 and 4761. The biggest common factor number is the GCF number.
So the greatest common factor 4741 and 4761 is 1.
Also check out the Least Common Multiple of 4741 and 4761
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