What is the Greatest Common Factor of 5501 and 5508?
Greatest common factor (GCF) of 5501 and 5508 is 1.
GCF(5501,5508) = 1
We will now calculate the prime factors of 5501 and 5508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5501 and 5508.
How to find the GCF of 5501 and 5508?
We will first find the prime factorization of 5501 and 5508. After we will calculate the factors of 5501 and 5508 and find the biggest common factor number .
Step-1: Prime Factorization of 5501
Prime factors of 5501 are 5501. Prime factorization of 5501 in exponential form is:
5501 = 55011
Step-2: Prime Factorization of 5508
Prime factors of 5508 are 2, 3, 17. Prime factorization of 5508 in exponential form is:
5508 = 22 × 34 × 171
Step-3: Factors of 5501
List of positive integer factors of 5501 that divides 5501 without a remainder.
1
Step-4: Factors of 5508
List of positive integer factors of 5508 that divides 5501 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81, 102, 108, 153, 162, 204, 306, 324, 459, 612, 918, 1377, 1836, 2754
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5501 and 5508. The biggest common factor number is the GCF number.
So the greatest common factor 5501 and 5508 is 1.
Also check out the Least Common Multiple of 5501 and 5508
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