What is the Greatest Common Factor of 581 and 589?
Greatest common factor (GCF) of 581 and 589 is 1.
GCF(581,589) = 1
We will now calculate the prime factors of 581 and 589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 581 and 589.
How to find the GCF of 581 and 589?
We will first find the prime factorization of 581 and 589. After we will calculate the factors of 581 and 589 and find the biggest common factor number .
Step-1: Prime Factorization of 581
Prime factors of 581 are 7, 83. Prime factorization of 581 in exponential form is:
581 = 71 × 831
Step-2: Prime Factorization of 589
Prime factors of 589 are 19, 31. Prime factorization of 589 in exponential form is:
589 = 191 × 311
Step-3: Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1, 7, 83
Step-4: Factors of 589
List of positive integer factors of 589 that divides 581 without a remainder.
1, 19, 31
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 581 and 589. The biggest common factor number is the GCF number.
So the greatest common factor 581 and 589 is 1.
Also check out the Least Common Multiple of 581 and 589
Related Greatest Common Factors of 581
- GCF of 581 and 585
- GCF of 581 and 586
- GCF of 581 and 587
- GCF of 581 and 588
- GCF of 581 and 589
- GCF of 581 and 590
- GCF of 581 and 591
- GCF of 581 and 592
- GCF of 581 and 593
- GCF of 581 and 594
- GCF of 581 and 595
- GCF of 581 and 596
- GCF of 581 and 597
- GCF of 581 and 598
- GCF of 581 and 599
- GCF of 581 and 600
- GCF of 581 and 601
Related Greatest Common Factors of 589
- GCF of 589 and 593
- GCF of 589 and 594
- GCF of 589 and 595
- GCF of 589 and 596
- GCF of 589 and 597
- GCF of 589 and 598
- GCF of 589 and 599
- GCF of 589 and 600
- GCF of 589 and 601
- GCF of 589 and 602
- GCF of 589 and 603
- GCF of 589 and 604
- GCF of 589 and 605
- GCF of 589 and 606
- GCF of 589 and 607
- GCF of 589 and 608
- GCF of 589 and 609