What is the Greatest Common Factor of 582 and 594?
Greatest common factor (GCF) of 582 and 594 is 6.
GCF(582,594) = 6
We will now calculate the prime factors of 582 and 594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 582 and 594.
How to find the GCF of 582 and 594?
We will first find the prime factorization of 582 and 594. After we will calculate the factors of 582 and 594 and find the biggest common factor number .
Step-1: Prime Factorization of 582
Prime factors of 582 are 2, 3, 97. Prime factorization of 582 in exponential form is:
582 = 21 × 31 × 971
Step-2: Prime Factorization of 594
Prime factors of 594 are 2, 3, 11. Prime factorization of 594 in exponential form is:
594 = 21 × 33 × 111
Step-3: Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291
Step-4: Factors of 594
List of positive integer factors of 594 that divides 582 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 582 and 594. The biggest common factor number is the GCF number.
So the greatest common factor 582 and 594 is 6.
Also check out the Least Common Multiple of 582 and 594
Related Greatest Common Factors of 582
- GCF of 582 and 586
- GCF of 582 and 587
- GCF of 582 and 588
- GCF of 582 and 589
- GCF of 582 and 590
- GCF of 582 and 591
- GCF of 582 and 592
- GCF of 582 and 593
- GCF of 582 and 594
- GCF of 582 and 595
- GCF of 582 and 596
- GCF of 582 and 597
- GCF of 582 and 598
- GCF of 582 and 599
- GCF of 582 and 600
- GCF of 582 and 601
- GCF of 582 and 602
Related Greatest Common Factors of 594
- GCF of 594 and 598
- GCF of 594 and 599
- GCF of 594 and 600
- GCF of 594 and 601
- GCF of 594 and 602
- GCF of 594 and 603
- GCF of 594 and 604
- GCF of 594 and 605
- GCF of 594 and 606
- GCF of 594 and 607
- GCF of 594 and 608
- GCF of 594 and 609
- GCF of 594 and 610
- GCF of 594 and 611
- GCF of 594 and 612
- GCF of 594 and 613
- GCF of 594 and 614