What is the Greatest Common Factor of 3729 and 3748?
Greatest common factor (GCF) of 3729 and 3748 is 1.
GCF(3729,3748) = 1
We will now calculate the prime factors of 3729 and 3748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3729 and 3748.
How to find the GCF of 3729 and 3748?
We will first find the prime factorization of 3729 and 3748. After we will calculate the factors of 3729 and 3748 and find the biggest common factor number .
Step-1: Prime Factorization of 3729
Prime factors of 3729 are 3, 11, 113. Prime factorization of 3729 in exponential form is:
3729 = 31 × 111 × 1131
Step-2: Prime Factorization of 3748
Prime factors of 3748 are 2, 937. Prime factorization of 3748 in exponential form is:
3748 = 22 × 9371
Step-3: Factors of 3729
List of positive integer factors of 3729 that divides 3729 without a remainder.
1, 3, 11, 33, 113, 339, 1243
Step-4: Factors of 3748
List of positive integer factors of 3748 that divides 3729 without a remainder.
1, 2, 4, 937, 1874
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 3729 and 3748. The biggest common factor number is the GCF number.
So the greatest common factor 3729 and 3748 is 1.
Also check out the Least Common Multiple of 3729 and 3748
Related Greatest Common Factors of 3729
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- GCF of 3729 and 3748
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Related Greatest Common Factors of 3748
- GCF of 3748 and 3752
- GCF of 3748 and 3753
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- GCF of 3748 and 3758
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- GCF of 3748 and 3763
- GCF of 3748 and 3764
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