What is the Greatest Common Factor of 4730 and 4749?
Greatest common factor (GCF) of 4730 and 4749 is 1.
GCF(4730,4749) = 1
We will now calculate the prime factors of 4730 and 4749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4730 and 4749.
How to find the GCF of 4730 and 4749?
We will first find the prime factorization of 4730 and 4749. After we will calculate the factors of 4730 and 4749 and find the biggest common factor number .
Step-1: Prime Factorization of 4730
Prime factors of 4730 are 2, 5, 11, 43. Prime factorization of 4730 in exponential form is:
4730 = 21 × 51 × 111 × 431
Step-2: Prime Factorization of 4749
Prime factors of 4749 are 3, 1583. Prime factorization of 4749 in exponential form is:
4749 = 31 × 15831
Step-3: Factors of 4730
List of positive integer factors of 4730 that divides 4730 without a remainder.
1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365
Step-4: Factors of 4749
List of positive integer factors of 4749 that divides 4730 without a remainder.
1, 3, 1583
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4730 and 4749. The biggest common factor number is the GCF number.
So the greatest common factor 4730 and 4749 is 1.
Also check out the Least Common Multiple of 4730 and 4749
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Related Greatest Common Factors of 4749
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