What is the Greatest Common Factor of 8726 and 8740?
Greatest common factor (GCF) of 8726 and 8740 is 2.
GCF(8726,8740) = 2
We will now calculate the prime factors of 8726 and 8740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8726 and 8740.
How to find the GCF of 8726 and 8740?
We will first find the prime factorization of 8726 and 8740. After we will calculate the factors of 8726 and 8740 and find the biggest common factor number .
Step-1: Prime Factorization of 8726
Prime factors of 8726 are 2, 4363. Prime factorization of 8726 in exponential form is:
8726 = 21 × 43631
Step-2: Prime Factorization of 8740
Prime factors of 8740 are 2, 5, 19, 23. Prime factorization of 8740 in exponential form is:
8740 = 22 × 51 × 191 × 231
Step-3: Factors of 8726
List of positive integer factors of 8726 that divides 8726 without a remainder.
1, 2, 4363
Step-4: Factors of 8740
List of positive integer factors of 8740 that divides 8726 without a remainder.
1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8726 and 8740. The biggest common factor number is the GCF number.
So the greatest common factor 8726 and 8740 is 2.
Also check out the Least Common Multiple of 8726 and 8740
Related Greatest Common Factors of 8726
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- GCF of 8726 and 8736
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- GCF of 8726 and 8738
- GCF of 8726 and 8739
- GCF of 8726 and 8740
- GCF of 8726 and 8741
- GCF of 8726 and 8742
- GCF of 8726 and 8743
- GCF of 8726 and 8744
- GCF of 8726 and 8745
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Related Greatest Common Factors of 8740
- GCF of 8740 and 8744
- GCF of 8740 and 8745
- GCF of 8740 and 8746
- GCF of 8740 and 8747
- GCF of 8740 and 8748
- GCF of 8740 and 8749
- GCF of 8740 and 8750
- GCF of 8740 and 8751
- GCF of 8740 and 8752
- GCF of 8740 and 8753
- GCF of 8740 and 8754
- GCF of 8740 and 8755
- GCF of 8740 and 8756
- GCF of 8740 and 8757
- GCF of 8740 and 8758
- GCF of 8740 and 8759
- GCF of 8740 and 8760