What is the Greatest Common Factor of 572 and 582?
Greatest common factor (GCF) of 572 and 582 is 2.
GCF(572,582) = 2
We will now calculate the prime factors of 572 and 582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 572 and 582.
How to find the GCF of 572 and 582?
We will first find the prime factorization of 572 and 582. After we will calculate the factors of 572 and 582 and find the biggest common factor number .
Step-1: Prime Factorization of 572
Prime factors of 572 are 2, 11, 13. Prime factorization of 572 in exponential form is:
572 = 22 × 111 × 131
Step-2: 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-3: Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286
Step-4: Factors of 582
List of positive integer factors of 582 that divides 572 without a remainder.
1, 2, 3, 6, 97, 194, 291
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 572 and 582. The biggest common factor number is the GCF number.
So the greatest common factor 572 and 582 is 2.
Also check out the Least Common Multiple of 572 and 582
Related Greatest Common Factors of 572
- GCF of 572 and 576
- GCF of 572 and 577
- GCF of 572 and 578
- GCF of 572 and 579
- GCF of 572 and 580
- GCF of 572 and 581
- GCF of 572 and 582
- GCF of 572 and 583
- GCF of 572 and 584
- GCF of 572 and 585
- GCF of 572 and 586
- GCF of 572 and 587
- GCF of 572 and 588
- GCF of 572 and 589
- GCF of 572 and 590
- GCF of 572 and 591
- GCF of 572 and 592
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