What is the Greatest Common Factor of 13544 and 13563?
Greatest common factor (GCF) of 13544 and 13563 is 1.
GCF(13544,13563) = 1
We will now calculate the prime factors of 13544 and 13563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13544 and 13563.
How to find the GCF of 13544 and 13563?
We will first find the prime factorization of 13544 and 13563. After we will calculate the factors of 13544 and 13563 and find the biggest common factor number .
Step-1: Prime Factorization of 13544
Prime factors of 13544 are 2, 1693. Prime factorization of 13544 in exponential form is:
13544 = 23 × 16931
Step-2: Prime Factorization of 13563
Prime factors of 13563 are 3, 11, 137. Prime factorization of 13563 in exponential form is:
13563 = 32 × 111 × 1371
Step-3: Factors of 13544
List of positive integer factors of 13544 that divides 13544 without a remainder.
1, 2, 4, 8, 1693, 3386, 6772
Step-4: Factors of 13563
List of positive integer factors of 13563 that divides 13544 without a remainder.
1, 3, 9, 11, 33, 99, 137, 411, 1233, 1507, 4521
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13544 and 13563. The biggest common factor number is the GCF number.
So the greatest common factor 13544 and 13563 is 1.
Also check out the Least Common Multiple of 13544 and 13563
Related Greatest Common Factors of 13544
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Related Greatest Common Factors of 13563
- GCF of 13563 and 13567
- GCF of 13563 and 13568
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- GCF of 13563 and 13573
- GCF of 13563 and 13574
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- GCF of 13563 and 13577
- GCF of 13563 and 13578
- GCF of 13563 and 13579
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