What is the Greatest Common Factor of 4746 and 4763?
Greatest common factor (GCF) of 4746 and 4763 is 1.
GCF(4746,4763) = 1
We will now calculate the prime factors of 4746 and 4763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4746 and 4763.
How to find the GCF of 4746 and 4763?
We will first find the prime factorization of 4746 and 4763. After we will calculate the factors of 4746 and 4763 and find the biggest common factor number .
Step-1: Prime Factorization of 4746
Prime factors of 4746 are 2, 3, 7, 113. Prime factorization of 4746 in exponential form is:
4746 = 21 × 31 × 71 × 1131
Step-2: Prime Factorization of 4763
Prime factors of 4763 are 11, 433. Prime factorization of 4763 in exponential form is:
4763 = 111 × 4331
Step-3: Factors of 4746
List of positive integer factors of 4746 that divides 4746 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373
Step-4: Factors of 4763
List of positive integer factors of 4763 that divides 4746 without a remainder.
1, 11, 433
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4746 and 4763. The biggest common factor number is the GCF number.
So the greatest common factor 4746 and 4763 is 1.
Also check out the Least Common Multiple of 4746 and 4763
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Related Greatest Common Factors of 4763
- GCF of 4763 and 4767
- GCF of 4763 and 4768
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