What is the Greatest Common Factor of 4745 and 4755?
Greatest common factor (GCF) of 4745 and 4755 is 5.
GCF(4745,4755) = 5
We will now calculate the prime factors of 4745 and 4755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4745 and 4755.
How to find the GCF of 4745 and 4755?
We will first find the prime factorization of 4745 and 4755. After we will calculate the factors of 4745 and 4755 and find the biggest common factor number .
Step-1: Prime Factorization of 4745
Prime factors of 4745 are 5, 13, 73. Prime factorization of 4745 in exponential form is:
4745 = 51 × 131 × 731
Step-2: Prime Factorization of 4755
Prime factors of 4755 are 3, 5, 317. Prime factorization of 4755 in exponential form is:
4755 = 31 × 51 × 3171
Step-3: Factors of 4745
List of positive integer factors of 4745 that divides 4745 without a remainder.
1, 5, 13, 65, 73, 365, 949
Step-4: Factors of 4755
List of positive integer factors of 4755 that divides 4745 without a remainder.
1, 3, 5, 15, 317, 951, 1585
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4745 and 4755. The biggest common factor number is the GCF number.
So the greatest common factor 4745 and 4755 is 5.
Also check out the Least Common Multiple of 4745 and 4755
Related Greatest Common Factors of 4745
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Related Greatest Common Factors of 4755
- GCF of 4755 and 4759
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