What is the Greatest Common Factor of 583 and 588?
Greatest common factor (GCF) of 583 and 588 is 1.
GCF(583,588) = 1
We will now calculate the prime factors of 583 and 588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 583 and 588.
How to find the GCF of 583 and 588?
We will first find the prime factorization of 583 and 588. After we will calculate the factors of 583 and 588 and find the biggest common factor number .
Step-1: Prime Factorization of 583
Prime factors of 583 are 11, 53. Prime factorization of 583 in exponential form is:
583 = 111 × 531
Step-2: Prime Factorization of 588
Prime factors of 588 are 2, 3, 7. Prime factorization of 588 in exponential form is:
588 = 22 × 31 × 72
Step-3: Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1, 11, 53
Step-4: Factors of 588
List of positive integer factors of 588 that divides 583 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 583 and 588. The biggest common factor number is the GCF number.
So the greatest common factor 583 and 588 is 1.
Also check out the Least Common Multiple of 583 and 588
Related Greatest Common Factors of 583
- GCF of 583 and 587
- GCF of 583 and 588
- GCF of 583 and 589
- GCF of 583 and 590
- GCF of 583 and 591
- GCF of 583 and 592
- GCF of 583 and 593
- GCF of 583 and 594
- GCF of 583 and 595
- GCF of 583 and 596
- GCF of 583 and 597
- GCF of 583 and 598
- GCF of 583 and 599
- GCF of 583 and 600
- GCF of 583 and 601
- GCF of 583 and 602
- GCF of 583 and 603
Related Greatest Common Factors of 588
- GCF of 588 and 592
- GCF of 588 and 593
- GCF of 588 and 594
- GCF of 588 and 595
- GCF of 588 and 596
- GCF of 588 and 597
- GCF of 588 and 598
- GCF of 588 and 599
- GCF of 588 and 600
- GCF of 588 and 601
- GCF of 588 and 602
- GCF of 588 and 603
- GCF of 588 and 604
- GCF of 588 and 605
- GCF of 588 and 606
- GCF of 588 and 607
- GCF of 588 and 608