What is the Greatest Common Factor of 556 and 564?
Greatest common factor (GCF) of 556 and 564 is 4.
GCF(556,564) = 4
We will now calculate the prime factors of 556 and 564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 556 and 564.
How to find the GCF of 556 and 564?
We will first find the prime factorization of 556 and 564. After we will calculate the factors of 556 and 564 and find the biggest common factor number .
Step-1: Prime Factorization of 556
Prime factors of 556 are 2, 139. Prime factorization of 556 in exponential form is:
556 = 22 × 1391
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 556
List of positive integer factors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278
Step-4: Factors of 564
List of positive integer factors of 564 that divides 556 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 556 and 564. The biggest common factor number is the GCF number.
So the greatest common factor 556 and 564 is 4.
Also check out the Least Common Multiple of 556 and 564
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