What is the Greatest Common Factor of 5440 and 5445?
Greatest common factor (GCF) of 5440 and 5445 is 5.
GCF(5440,5445) = 5
We will now calculate the prime factors of 5440 and 5445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5440 and 5445.
How to find the GCF of 5440 and 5445?
We will first find the prime factorization of 5440 and 5445. After we will calculate the factors of 5440 and 5445 and find the biggest common factor number .
Step-1: Prime Factorization of 5440
Prime factors of 5440 are 2, 5, 17. Prime factorization of 5440 in exponential form is:
5440 = 26 × 51 × 171
Step-2: Prime Factorization of 5445
Prime factors of 5445 are 3, 5, 11. Prime factorization of 5445 in exponential form is:
5445 = 32 × 51 × 112
Step-3: Factors of 5440
List of positive integer factors of 5440 that divides 5440 without a remainder.
1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 136, 160, 170, 272, 320, 340, 544, 680, 1088, 1360, 2720
Step-4: Factors of 5445
List of positive integer factors of 5445 that divides 5440 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5440 and 5445. The biggest common factor number is the GCF number.
So the greatest common factor 5440 and 5445 is 5.
Also check out the Least Common Multiple of 5440 and 5445
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Related Greatest Common Factors of 5445
- GCF of 5445 and 5449
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- GCF of 5445 and 5455
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