What is the Greatest Common Factor of 5757 and 5764?
Greatest common factor (GCF) of 5757 and 5764 is 1.
GCF(5757,5764) = 1
We will now calculate the prime factors of 5757 and 5764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5757 and 5764.
How to find the GCF of 5757 and 5764?
We will first find the prime factorization of 5757 and 5764. After we will calculate the factors of 5757 and 5764 and find the biggest common factor number .
Step-1: Prime Factorization of 5757
Prime factors of 5757 are 3, 19, 101. Prime factorization of 5757 in exponential form is:
5757 = 31 × 191 × 1011
Step-2: Prime Factorization of 5764
Prime factors of 5764 are 2, 11, 131. Prime factorization of 5764 in exponential form is:
5764 = 22 × 111 × 1311
Step-3: Factors of 5757
List of positive integer factors of 5757 that divides 5757 without a remainder.
1, 3, 19, 57, 101, 303, 1919
Step-4: Factors of 5764
List of positive integer factors of 5764 that divides 5757 without a remainder.
1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5757 and 5764. The biggest common factor number is the GCF number.
So the greatest common factor 5757 and 5764 is 1.
Also check out the Least Common Multiple of 5757 and 5764
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Related Greatest Common Factors of 5764
- GCF of 5764 and 5768
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