What is the Greatest Common Factor of 8741 and 8760?
Greatest common factor (GCF) of 8741 and 8760 is 1.
GCF(8741,8760) = 1
We will now calculate the prime factors of 8741 and 8760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8741 and 8760.
How to find the GCF of 8741 and 8760?
We will first find the prime factorization of 8741 and 8760. After we will calculate the factors of 8741 and 8760 and find the biggest common factor number .
Step-1: Prime Factorization of 8741
Prime factors of 8741 are 8741. Prime factorization of 8741 in exponential form is:
8741 = 87411
Step-2: Prime Factorization of 8760
Prime factors of 8760 are 2, 3, 5, 73. Prime factorization of 8760 in exponential form is:
8760 = 23 × 31 × 51 × 731
Step-3: Factors of 8741
List of positive integer factors of 8741 that divides 8741 without a remainder.
1
Step-4: Factors of 8760
List of positive integer factors of 8760 that divides 8741 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8741 and 8760. The biggest common factor number is the GCF number.
So the greatest common factor 8741 and 8760 is 1.
Also check out the Least Common Multiple of 8741 and 8760
Related Greatest Common Factors of 8741
- GCF of 8741 and 8745
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- GCF of 8741 and 8749
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- GCF of 8741 and 8752
- GCF of 8741 and 8753
- GCF of 8741 and 8754
- GCF of 8741 and 8755
- GCF of 8741 and 8756
- GCF of 8741 and 8757
- GCF of 8741 and 8758
- GCF of 8741 and 8759
- GCF of 8741 and 8760
- GCF of 8741 and 8761
Related Greatest Common Factors of 8760
- GCF of 8760 and 8764
- GCF of 8760 and 8765
- GCF of 8760 and 8766
- GCF of 8760 and 8767
- GCF of 8760 and 8768
- GCF of 8760 and 8769
- GCF of 8760 and 8770
- GCF of 8760 and 8771
- GCF of 8760 and 8772
- GCF of 8760 and 8773
- GCF of 8760 and 8774
- GCF of 8760 and 8775
- GCF of 8760 and 8776
- GCF of 8760 and 8777
- GCF of 8760 and 8778
- GCF of 8760 and 8779
- GCF of 8760 and 8780