What is the Greatest Common Factor of 6549 and 6567?
Greatest common factor (GCF) of 6549 and 6567 is 3.
GCF(6549,6567) = 3
We will now calculate the prime factors of 6549 and 6567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6549 and 6567.
How to find the GCF of 6549 and 6567?
We will first find the prime factorization of 6549 and 6567. After we will calculate the factors of 6549 and 6567 and find the biggest common factor number .
Step-1: Prime Factorization of 6549
Prime factors of 6549 are 3, 37, 59. Prime factorization of 6549 in exponential form is:
6549 = 31 × 371 × 591
Step-2: Prime Factorization of 6567
Prime factors of 6567 are 3, 11, 199. Prime factorization of 6567 in exponential form is:
6567 = 31 × 111 × 1991
Step-3: Factors of 6549
List of positive integer factors of 6549 that divides 6549 without a remainder.
1, 3, 37, 59, 111, 177, 2183
Step-4: Factors of 6567
List of positive integer factors of 6567 that divides 6549 without a remainder.
1, 3, 11, 33, 199, 597, 2189
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 6549 and 6567. The biggest common factor number is the GCF number.
So the greatest common factor 6549 and 6567 is 3.
Also check out the Least Common Multiple of 6549 and 6567
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