What is the Greatest Common Factor of 12735 and 12752?
Greatest common factor (GCF) of 12735 and 12752 is 1.
GCF(12735,12752) = 1
We will now calculate the prime factors of 12735 and 12752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12735 and 12752.
How to find the GCF of 12735 and 12752?
We will first find the prime factorization of 12735 and 12752. After we will calculate the factors of 12735 and 12752 and find the biggest common factor number .
Step-1: Prime Factorization of 12735
Prime factors of 12735 are 3, 5, 283. Prime factorization of 12735 in exponential form is:
12735 = 32 × 51 × 2831
Step-2: Prime Factorization of 12752
Prime factors of 12752 are 2, 797. Prime factorization of 12752 in exponential form is:
12752 = 24 × 7971
Step-3: Factors of 12735
List of positive integer factors of 12735 that divides 12735 without a remainder.
1, 3, 5, 9, 15, 45, 283, 849, 1415, 2547, 4245
Step-4: Factors of 12752
List of positive integer factors of 12752 that divides 12735 without a remainder.
1, 2, 4, 8, 16, 797, 1594, 3188, 6376
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12735 and 12752. The biggest common factor number is the GCF number.
So the greatest common factor 12735 and 12752 is 1.
Also check out the Least Common Multiple of 12735 and 12752
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- GCF of 12735 and 12751
- GCF of 12735 and 12752
- GCF of 12735 and 12753
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Related Greatest Common Factors of 12752
- GCF of 12752 and 12756
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