What is the Greatest Common Factor of 570 and 584?
Greatest common factor (GCF) of 570 and 584 is 2.
GCF(570,584) = 2
We will now calculate the prime factors of 570 and 584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 570 and 584.
How to find the GCF of 570 and 584?
We will first find the prime factorization of 570 and 584. After we will calculate the factors of 570 and 584 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 584
Prime factors of 584 are 2, 73. Prime factorization of 584 in exponential form is:
584 = 23 × 731
Step-3: Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285
Step-4: Factors of 584
List of positive integer factors of 584 that divides 570 without a remainder.
1, 2, 4, 8, 73, 146, 292
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 570 and 584. The biggest common factor number is the GCF number.
So the greatest common factor 570 and 584 is 2.
Also check out the Least Common Multiple of 570 and 584
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