What is the Greatest Common Factor of 10746 and 10765?
Greatest common factor (GCF) of 10746 and 10765 is 1.
GCF(10746,10765) = 1
We will now calculate the prime factors of 10746 and 10765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10746 and 10765.
How to find the GCF of 10746 and 10765?
We will first find the prime factorization of 10746 and 10765. After we will calculate the factors of 10746 and 10765 and find the biggest common factor number .
Step-1: Prime Factorization of 10746
Prime factors of 10746 are 2, 3, 199. Prime factorization of 10746 in exponential form is:
10746 = 21 × 33 × 1991
Step-2: Prime Factorization of 10765
Prime factors of 10765 are 5, 2153. Prime factorization of 10765 in exponential form is:
10765 = 51 × 21531
Step-3: Factors of 10746
List of positive integer factors of 10746 that divides 10746 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 199, 398, 597, 1194, 1791, 3582, 5373
Step-4: Factors of 10765
List of positive integer factors of 10765 that divides 10746 without a remainder.
1, 5, 2153
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10746 and 10765. The biggest common factor number is the GCF number.
So the greatest common factor 10746 and 10765 is 1.
Also check out the Least Common Multiple of 10746 and 10765
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