What is the Greatest Common Factor of 564 and 570?
Greatest common factor (GCF) of 564 and 570 is 6.
GCF(564,570) = 6
We will now calculate the prime factors of 564 and 570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 564 and 570.
How to find the GCF of 564 and 570?
We will first find the prime factorization of 564 and 570. After we will calculate the factors of 564 and 570 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 570
Prime factors of 570 are 2, 3, 5, 19. Prime factorization of 570 in exponential form is:
570 = 21 × 31 × 51 × 191
Step-3: Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282
Step-4: Factors of 570
List of positive integer factors of 570 that divides 564 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 564 and 570. The biggest common factor number is the GCF number.
So the greatest common factor 564 and 570 is 6.
Also check out the Least Common Multiple of 564 and 570
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