What is the Greatest Common Factor of 13635 and 13648?
Greatest common factor (GCF) of 13635 and 13648 is 1.
GCF(13635,13648) = 1
We will now calculate the prime factors of 13635 and 13648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13635 and 13648.
How to find the GCF of 13635 and 13648?
We will first find the prime factorization of 13635 and 13648. After we will calculate the factors of 13635 and 13648 and find the biggest common factor number .
Step-1: Prime Factorization of 13635
Prime factors of 13635 are 3, 5, 101. Prime factorization of 13635 in exponential form is:
13635 = 33 × 51 × 1011
Step-2: Prime Factorization of 13648
Prime factors of 13648 are 2, 853. Prime factorization of 13648 in exponential form is:
13648 = 24 × 8531
Step-3: Factors of 13635
List of positive integer factors of 13635 that divides 13635 without a remainder.
1, 3, 5, 9, 15, 27, 45, 101, 135, 303, 505, 909, 1515, 2727, 4545
Step-4: Factors of 13648
List of positive integer factors of 13648 that divides 13635 without a remainder.
1, 2, 4, 8, 16, 853, 1706, 3412, 6824
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13635 and 13648. The biggest common factor number is the GCF number.
So the greatest common factor 13635 and 13648 is 1.
Also check out the Least Common Multiple of 13635 and 13648
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Related Greatest Common Factors of 13648
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