What is the Greatest Common Factor of 548 and 564?
Greatest common factor (GCF) of 548 and 564 is 4.
GCF(548,564) = 4
We will now calculate the prime factors of 548 and 564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 548 and 564.
How to find the GCF of 548 and 564?
We will first find the prime factorization of 548 and 564. After we will calculate the factors of 548 and 564 and find the biggest common factor number .
Step-1: Prime Factorization of 548
Prime factors of 548 are 2, 137. Prime factorization of 548 in exponential form is:
548 = 22 × 1371
Step-2: Prime Factorization of 564
Prime factors of 564 are 2, 3, 47. Prime factorization of 564 in exponential form is:
564 = 22 × 31 × 471
Step-3: Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274
Step-4: Factors of 564
List of positive integer factors of 564 that divides 548 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 548 and 564. The biggest common factor number is the GCF number.
So the greatest common factor 548 and 564 is 4.
Also check out the Least Common Multiple of 548 and 564
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